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Finding the Fourth Proportional to 1,527.17, 2,290.74 and 372.92

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Solution

The fourth proportional to 1,527.17, 2,290.74 and 372.92 is: 559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.17 : 2,290.74 = 372.92 : x
  2. Step 2: Convert to fraction form
    1,527.17/2,290.74 = 372.92/x
  3. Step 3: Cross multiply
    1,527.17x = 2,290.74 × 372.92
  4. Step 4: Simplify right side
    1,527.17x = 854,269.19
  5. Step 5: Solve for x
    x = 854,269.19/1,527.17
  6. Step 6: Final answer
    x = 559.38

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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.