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Finding the Fourth Proportional to 1,966.47, 2,712.81 and 1,257.96

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Solution

The fourth proportional to 1,966.47, 2,712.81 and 1,257.96 is: 1,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.47 : 2,712.81 = 1,257.96 : x
  2. Step 2: Convert to fraction form
    1,966.47/2,712.81 = 1,257.96/x
  3. Step 3: Cross multiply
    1,966.47x = 2,712.81 × 1,257.96
  4. Step 4: Simplify right side
    1,966.47x = 3,412,606.47
  5. Step 5: Solve for x
    x = 3,412,606.47/1,966.47
  6. Step 6: Final answer
    x = 1,735.40

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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.