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Finding the Fourth Proportional to 1,793.76, 2,691.68 and 753.67

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Solution

The fourth proportional to 1,793.76, 2,691.68 and 753.67 is: 1,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.76 : 2,691.68 = 753.67 : x
  2. Step 2: Convert to fraction form
    1,793.76/2,691.68 = 753.67/x
  3. Step 3: Cross multiply
    1,793.76x = 2,691.68 × 753.67
  4. Step 4: Simplify right side
    1,793.76x = 2,028,642.30
  5. Step 5: Solve for x
    x = 2,028,642.30/1,793.76
  6. Step 6: Final answer
    x = 1,130.94

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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.