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Finding the Fourth Proportional to 2,607.55, 3,599.19 and 2,257.23

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Solution

The fourth proportional to 2,607.55, 3,599.19 and 2,257.23 is: 3,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.55 : 3,599.19 = 2,257.23 : x
  2. Step 2: Convert to fraction form
    2,607.55/3,599.19 = 2,257.23/x
  3. Step 3: Cross multiply
    2,607.55x = 3,599.19 × 2,257.23
  4. Step 4: Simplify right side
    2,607.55x = 8,124,213.14
  5. Step 5: Solve for x
    x = 8,124,213.14/2,607.55
  6. Step 6: Final answer
    x = 3,115.65

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Half 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.