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Finding the Fourth Proportional to 1,944.93, 2,917.37 and 484.10

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Solution

The fourth proportional to 1,944.93, 2,917.37 and 484.10 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.93 : 2,917.37 = 484.10 : x
  2. Step 2: Convert to fraction form
    1,944.93/2,917.37 = 484.10/x
  3. Step 3: Cross multiply
    1,944.93x = 2,917.37 × 484.10
  4. Step 4: Simplify right side
    1,944.93x = 1,412,284.23
  5. Step 5: Solve for x
    x = 1,412,284.23/1,944.93
  6. Step 6: Final answer
    x = 726.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.