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Finding the Fourth Proportional to 2,387.72, 3,580.02 and 927.02

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Solution

The fourth proportional to 2,387.72, 3,580.02 and 927.02 is: 1,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.72 : 3,580.02 = 927.02 : x
  2. Step 2: Convert to fraction form
    2,387.72/3,580.02 = 927.02/x
  3. Step 3: Cross multiply
    2,387.72x = 3,580.02 × 927.02
  4. Step 4: Simplify right side
    2,387.72x = 3,318,732.24
  5. Step 5: Solve for x
    x = 3,318,732.24/2,387.72
  6. Step 6: Final answer
    x = 1,389.92

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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.