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Finding the Fourth Proportional to 2,658.65, 3,987.98 and 710.85

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Solution

The fourth proportional to 2,658.65, 3,987.98 and 710.85 is: 1,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.65 : 3,987.98 = 710.85 : x
  2. Step 2: Convert to fraction form
    2,658.65/3,987.98 = 710.85/x
  3. Step 3: Cross multiply
    2,658.65x = 3,987.98 × 710.85
  4. Step 4: Simplify right side
    2,658.65x = 2,834,864.66
  5. Step 5: Solve for x
    x = 2,834,864.66/2,658.65
  6. Step 6: Final answer
    x = 1,066.28

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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.