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Finding the Fourth Proportional to 1,857.62, 2,565.68 and 1,527.14

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Solution

The fourth proportional to 1,857.62, 2,565.68 and 1,527.14 is: 2,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.62 : 2,565.68 = 1,527.14 : x
  2. Step 2: Convert to fraction form
    1,857.62/2,565.68 = 1,527.14/x
  3. Step 3: Cross multiply
    1,857.62x = 2,565.68 × 1,527.14
  4. Step 4: Simplify right side
    1,857.62x = 3,918,132.09
  5. Step 5: Solve for x
    x = 3,918,132.09/1,857.62
  6. Step 6: Final answer
    x = 2,109.23

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