Home / 2,654.92-3,982.56-707.06

Finding the Fourth Proportional to 2,654.92, 3,982.56 and 707.06

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Solution

The fourth proportional to 2,654.92, 3,982.56 and 707.06 is: 1,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.92 : 3,982.56 = 707.06 : x
  2. Step 2: Convert to fraction form
    2,654.92/3,982.56 = 707.06/x
  3. Step 3: Cross multiply
    2,654.92x = 3,982.56 × 707.06
  4. Step 4: Simplify right side
    2,654.92x = 2,815,908.87
  5. Step 5: Solve for x
    x = 2,815,908.87/2,654.92
  6. Step 6: Final answer
    x = 1,060.64

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Why These Related Problems?

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