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Finding the Fourth Proportional to 2,538.92, 3,807.57 and 807.14

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Solution

The fourth proportional to 2,538.92, 3,807.57 and 807.14 is: 1,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.92 : 3,807.57 = 807.14 : x
  2. Step 2: Convert to fraction form
    2,538.92/3,807.57 = 807.14/x
  3. Step 3: Cross multiply
    2,538.92x = 3,807.57 × 807.14
  4. Step 4: Simplify right side
    2,538.92x = 3,073,242.05
  5. Step 5: Solve for x
    x = 3,073,242.05/2,538.92
  6. Step 6: Final answer
    x = 1,210.45

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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.