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Finding the Fourth Proportional to 2,142.56, 2,956.76 and 1,258.38

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Solution

The fourth proportional to 2,142.56, 2,956.76 and 1,258.38 is: 1,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.56 : 2,956.76 = 1,258.38 : x
  2. Step 2: Convert to fraction form
    2,142.56/2,956.76 = 1,258.38/x
  3. Step 3: Cross multiply
    2,142.56x = 2,956.76 × 1,258.38
  4. Step 4: Simplify right side
    2,142.56x = 3,720,727.65
  5. Step 5: Solve for x
    x = 3,720,727.65/2,142.56
  6. Step 6: Final answer
    x = 1,736.58

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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.