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Finding the Fourth Proportional to 2,697.03, 4,045.55 and 749.24

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Solution

The fourth proportional to 2,697.03, 4,045.55 and 749.24 is: 1,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.03 : 4,045.55 = 749.24 : x
  2. Step 2: Convert to fraction form
    2,697.03/4,045.55 = 749.24/x
  3. Step 3: Cross multiply
    2,697.03x = 4,045.55 × 749.24
  4. Step 4: Simplify right side
    2,697.03x = 3,031,065.78
  5. Step 5: Solve for x
    x = 3,031,065.78/2,697.03
  6. Step 6: Final answer
    x = 1,123.85

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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.