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Finding the Fourth Proportional to 2,142.07, 2,956.02 and 1,257.70

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Solution

The fourth proportional to 2,142.07, 2,956.02 and 1,257.70 is: 1,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.07 : 2,956.02 = 1,257.70 : x
  2. Step 2: Convert to fraction form
    2,142.07/2,956.02 = 1,257.70/x
  3. Step 3: Cross multiply
    2,142.07x = 2,956.02 × 1,257.70
  4. Step 4: Simplify right side
    2,142.07x = 3,717,786.35
  5. Step 5: Solve for x
    x = 3,717,786.35/2,142.07
  6. Step 6: Final answer
    x = 1,735.60

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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.