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Finding the Fourth Proportional to 1,863.74, 2,795.89 and 614.10

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Solution

The fourth proportional to 1,863.74, 2,795.89 and 614.10 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.74 : 2,795.89 = 614.10 : x
  2. Step 2: Convert to fraction form
    1,863.74/2,795.89 = 614.10/x
  3. Step 3: Cross multiply
    1,863.74x = 2,795.89 × 614.10
  4. Step 4: Simplify right side
    1,863.74x = 1,716,965.00
  5. Step 5: Solve for x
    x = 1,716,965.00/1,863.74
  6. Step 6: Final answer
    x = 921.25

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