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Finding the Fourth Proportional to 1,793.26, 2,688.26 and 925.76

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Solution

The fourth proportional to 1,793.26, 2,688.26 and 925.76 is: 1,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.26 : 2,688.26 = 925.76 : x
  2. Step 2: Convert to fraction form
    1,793.26/2,688.26 = 925.76/x
  3. Step 3: Cross multiply
    1,793.26x = 2,688.26 × 925.76
  4. Step 4: Simplify right side
    1,793.26x = 2,488,683.58
  5. Step 5: Solve for x
    x = 2,488,683.58/1,793.26
  6. Step 6: Final answer
    x = 1,387.80

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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.