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Finding the Fourth Proportional to 1,791.10, 2,686.68 and 492.58

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Solution

The fourth proportional to 1,791.10, 2,686.68 and 492.58 is: 738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.10 : 2,686.68 = 492.58 : x
  2. Step 2: Convert to fraction form
    1,791.10/2,686.68 = 492.58/x
  3. Step 3: Cross multiply
    1,791.10x = 2,686.68 × 492.58
  4. Step 4: Simplify right side
    1,791.10x = 1,323,404.83
  5. Step 5: Solve for x
    x = 1,323,404.83/1,791.10
  6. Step 6: Final answer
    x = 738.88

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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.