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Finding the Fourth Proportional to 2,095.96, 3,143.15 and 614.87

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Solution

The fourth proportional to 2,095.96, 3,143.15 and 614.87 is: 922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.96 : 3,143.15 = 614.87 : x
  2. Step 2: Convert to fraction form
    2,095.96/3,143.15 = 614.87/x
  3. Step 3: Cross multiply
    2,095.96x = 3,143.15 × 614.87
  4. Step 4: Simplify right side
    2,095.96x = 1,932,635.73
  5. Step 5: Solve for x
    x = 1,932,635.73/2,095.96
  6. Step 6: Final answer
    x = 922.08

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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.