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Finding the Fourth Proportional to 2,732.16, 4,098.84 and 1,000.80

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Solution

The fourth proportional to 2,732.16, 4,098.84 and 1,000.80 is: 1,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.16 : 4,098.84 = 1,000.80 : x
  2. Step 2: Convert to fraction form
    2,732.16/4,098.84 = 1,000.80/x
  3. Step 3: Cross multiply
    2,732.16x = 4,098.84 × 1,000.80
  4. Step 4: Simplify right side
    2,732.16x = 4,102,119.07
  5. Step 5: Solve for x
    x = 4,102,119.07/2,732.16
  6. Step 6: Final answer
    x = 1,501.42

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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.