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Finding the Fourth Proportional to 3,141.38, 4,709.75 and 1,580.24

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Solution

The fourth proportional to 3,141.38, 4,709.75 and 1,580.24 is: 2,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.38 : 4,709.75 = 1,580.24 : x
  2. Step 2: Convert to fraction form
    3,141.38/4,709.75 = 1,580.24/x
  3. Step 3: Cross multiply
    3,141.38x = 4,709.75 × 1,580.24
  4. Step 4: Simplify right side
    3,141.38x = 7,442,539.21
  5. Step 5: Solve for x
    x = 7,442,539.21/3,141.38
  6. Step 6: Final answer
    x = 2,369.19

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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.