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Finding the Fourth Proportional to 2,142.74, 2,956.95 and 1,258.62

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Solution

The fourth proportional to 2,142.74, 2,956.95 and 1,258.62 is: 1,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.74 : 2,956.95 = 1,258.62 : x
  2. Step 2: Convert to fraction form
    2,142.74/2,956.95 = 1,258.62/x
  3. Step 3: Cross multiply
    2,142.74x = 2,956.95 × 1,258.62
  4. Step 4: Simplify right side
    2,142.74x = 3,721,676.41
  5. Step 5: Solve for x
    x = 3,721,676.41/2,142.74
  6. Step 6: Final answer
    x = 1,736.88

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