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Finding the Fourth Proportional to 2,658.50, 3,987.66 and 1,428.31

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Solution

The fourth proportional to 2,658.50, 3,987.66 and 1,428.31 is: 2,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.50 : 3,987.66 = 1,428.31 : x
  2. Step 2: Convert to fraction form
    2,658.50/3,987.66 = 1,428.31/x
  3. Step 3: Cross multiply
    2,658.50x = 3,987.66 × 1,428.31
  4. Step 4: Simplify right side
    2,658.50x = 5,695,614.65
  5. Step 5: Solve for x
    x = 5,695,614.65/2,658.50
  6. Step 6: Final answer
    x = 2,142.42

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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.