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Finding the Fourth Proportional to 3,141.89, 4,711.46 and 1,580.92

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Solution

The fourth proportional to 3,141.89, 4,711.46 and 1,580.92 is: 2,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.89 : 4,711.46 = 1,580.92 : x
  2. Step 2: Convert to fraction form
    3,141.89/4,711.46 = 1,580.92/x
  3. Step 3: Cross multiply
    3,141.89x = 4,711.46 × 1,580.92
  4. Step 4: Simplify right side
    3,141.89x = 7,448,441.34
  5. Step 5: Solve for x
    x = 7,448,441.34/3,141.89
  6. Step 6: Final answer
    x = 2,370.69

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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.