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Finding the Fourth Proportional to 2,654.80, 3,982.38 and 707.02

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Solution

The fourth proportional to 2,654.80, 3,982.38 and 707.02 is: 1,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.80 : 3,982.38 = 707.02 : x
  2. Step 2: Convert to fraction form
    2,654.80/3,982.38 = 707.02/x
  3. Step 3: Cross multiply
    2,654.80x = 3,982.38 × 707.02
  4. Step 4: Simplify right side
    2,654.80x = 2,815,622.31
  5. Step 5: Solve for x
    x = 2,815,622.31/2,654.80
  6. Step 6: Final answer
    x = 1,060.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.