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Finding the Fourth Proportional to 2,095.78, 3,141.71 and 708.15

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Solution

The fourth proportional to 2,095.78, 3,141.71 and 708.15 is: 1,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.78 : 3,141.71 = 708.15 : x
  2. Step 2: Convert to fraction form
    2,095.78/3,141.71 = 708.15/x
  3. Step 3: Cross multiply
    2,095.78x = 3,141.71 × 708.15
  4. Step 4: Simplify right side
    2,095.78x = 2,224,788.00
  5. Step 5: Solve for x
    x = 2,224,788.00/2,095.78
  6. Step 6: Final answer
    x = 1,061.56

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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.