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Finding the Fourth Proportional to 1,841.62, 2,762.10 and 542.78

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Solution

The fourth proportional to 1,841.62, 2,762.10 and 542.78 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.62 : 2,762.10 = 542.78 : x
  2. Step 2: Convert to fraction form
    1,841.62/2,762.10 = 542.78/x
  3. Step 3: Cross multiply
    1,841.62x = 2,762.10 × 542.78
  4. Step 4: Simplify right side
    1,841.62x = 1,499,212.64
  5. Step 5: Solve for x
    x = 1,499,212.64/1,841.62
  6. Step 6: Final answer
    x = 814.07

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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.