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Finding the Fourth Proportional to 2,507.92, 3,462.54 and 1,843.62

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Solution

The fourth proportional to 2,507.92, 3,462.54 and 1,843.62 is: 2,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.92 : 3,462.54 = 1,843.62 : x
  2. Step 2: Convert to fraction form
    2,507.92/3,462.54 = 1,843.62/x
  3. Step 3: Cross multiply
    2,507.92x = 3,462.54 × 1,843.62
  4. Step 4: Simplify right side
    2,507.92x = 6,383,607.99
  5. Step 5: Solve for x
    x = 6,383,607.99/2,507.92
  6. Step 6: Final answer
    x = 2,545.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.