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Finding the Fourth Proportional to 2,143.17, 2,957.52 and 1,258.95

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Solution

The fourth proportional to 2,143.17, 2,957.52 and 1,258.95 is: 1,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.17 : 2,957.52 = 1,258.95 : x
  2. Step 2: Convert to fraction form
    2,143.17/2,957.52 = 1,258.95/x
  3. Step 3: Cross multiply
    2,143.17x = 2,957.52 × 1,258.95
  4. Step 4: Simplify right side
    2,143.17x = 3,723,369.80
  5. Step 5: Solve for x
    x = 3,723,369.80/2,143.17
  6. Step 6: Final answer
    x = 1,737.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.