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Finding the Fourth Proportional to 2,658.43, 3,987.06 and 1,014.40

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Solution

The fourth proportional to 2,658.43, 3,987.06 and 1,014.40 is: 1,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.43 : 3,987.06 = 1,014.40 : x
  2. Step 2: Convert to fraction form
    2,658.43/3,987.06 = 1,014.40/x
  3. Step 3: Cross multiply
    2,658.43x = 3,987.06 × 1,014.40
  4. Step 4: Simplify right side
    2,658.43x = 4,044,473.66
  5. Step 5: Solve for x
    x = 4,044,473.66/2,658.43
  6. Step 6: Final answer
    x = 1,521.38

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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.