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Finding the Fourth Proportional to 2,064.48, 3,097.03 and 748.34

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Solution

The fourth proportional to 2,064.48, 3,097.03 and 748.34 is: 1,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.48 : 3,097.03 = 748.34 : x
  2. Step 2: Convert to fraction form
    2,064.48/3,097.03 = 748.34/x
  3. Step 3: Cross multiply
    2,064.48x = 3,097.03 × 748.34
  4. Step 4: Simplify right side
    2,064.48x = 2,317,614.07
  5. Step 5: Solve for x
    x = 2,317,614.07/2,064.48
  6. Step 6: Final answer
    x = 1,122.61

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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.