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Finding the Fourth Proportional to 1,571, 2,167.98 and 1,106.24

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Solution

The fourth proportional to 1,571, 2,167.98 and 1,106.24 is: 1,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571 : 2,167.98 = 1,106.24 : x
  2. Step 2: Convert to fraction form
    1,571/2,167.98 = 1,106.24/x
  3. Step 3: Cross multiply
    1,571x = 2,167.98 × 1,106.24
  4. Step 4: Simplify right side
    1,571x = 2,398,306.20
  5. Step 5: Solve for x
    x = 2,398,306.20/1,571
  6. Step 6: Final answer
    x = 1,526.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.