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Finding the Fourth Proportional to 2,381.87, 3,565.04 and 2,154.53

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Solution

The fourth proportional to 2,381.87, 3,565.04 and 2,154.53 is: 3,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.87 : 3,565.04 = 2,154.53 : x
  2. Step 2: Convert to fraction form
    2,381.87/3,565.04 = 2,154.53/x
  3. Step 3: Cross multiply
    2,381.87x = 3,565.04 × 2,154.53
  4. Step 4: Simplify right side
    2,381.87x = 7,680,957.03
  5. Step 5: Solve for x
    x = 7,680,957.03/2,381.87
  6. Step 6: Final answer
    x = 3,224.77

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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.