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Finding the Fourth Proportional to 2,142.40, 2,956.71 and 1,258.17

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Solution

The fourth proportional to 2,142.40, 2,956.71 and 1,258.17 is: 1,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.40 : 2,956.71 = 1,258.17 : x
  2. Step 2: Convert to fraction form
    2,142.40/2,956.71 = 1,258.17/x
  3. Step 3: Cross multiply
    2,142.40x = 2,956.71 × 1,258.17
  4. Step 4: Simplify right side
    2,142.40x = 3,720,029.04
  5. Step 5: Solve for x
    x = 3,720,029.04/2,142.40
  6. Step 6: Final answer
    x = 1,736.38

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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.