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Finding the Fourth Proportional to 2,658.19, 3,987.27 and 809.30

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Solution

The fourth proportional to 2,658.19, 3,987.27 and 809.30 is: 1,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.19 : 3,987.27 = 809.30 : x
  2. Step 2: Convert to fraction form
    2,658.19/3,987.27 = 809.30/x
  3. Step 3: Cross multiply
    2,658.19x = 3,987.27 × 809.30
  4. Step 4: Simplify right side
    2,658.19x = 3,226,897.61
  5. Step 5: Solve for x
    x = 3,226,897.61/2,658.19
  6. Step 6: Final answer
    x = 1,213.95

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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.