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Finding the Fourth Proportional to 2,095.57, 3,141.15 and 708.42

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Solution

The fourth proportional to 2,095.57, 3,141.15 and 708.42 is: 1,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.57 : 3,141.15 = 708.42 : x
  2. Step 2: Convert to fraction form
    2,095.57/3,141.15 = 708.42/x
  3. Step 3: Cross multiply
    2,095.57x = 3,141.15 × 708.42
  4. Step 4: Simplify right side
    2,095.57x = 2,225,253.48
  5. Step 5: Solve for x
    x = 2,225,253.48/2,095.57
  6. Step 6: Final answer
    x = 1,061.88

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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.