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Finding the Fourth Proportional to 2,697, 4,045.32 and 749.22

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Solution

The fourth proportional to 2,697, 4,045.32 and 749.22 is: 1,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697 : 4,045.32 = 749.22 : x
  2. Step 2: Convert to fraction form
    2,697/4,045.32 = 749.22/x
  3. Step 3: Cross multiply
    2,697x = 4,045.32 × 749.22
  4. Step 4: Simplify right side
    2,697x = 3,030,834.65
  5. Step 5: Solve for x
    x = 3,030,834.65/2,697
  6. Step 6: Final answer
    x = 1,123.78

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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.