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Finding the Fourth Proportional to 2,095.78, 3,142.95 and 614.61

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Solution

The fourth proportional to 2,095.78, 3,142.95 and 614.61 is: 921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.78 : 3,142.95 = 614.61 : x
  2. Step 2: Convert to fraction form
    2,095.78/3,142.95 = 614.61/x
  3. Step 3: Cross multiply
    2,095.78x = 3,142.95 × 614.61
  4. Step 4: Simplify right side
    2,095.78x = 1,931,688.50
  5. Step 5: Solve for x
    x = 1,931,688.50/2,095.78
  6. Step 6: Final answer
    x = 921.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.