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Finding the Fourth Proportional to 2,343.04, 3,514.56 and 611.52

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Solution

The fourth proportional to 2,343.04, 3,514.56 and 611.52 is: 917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.04 : 3,514.56 = 611.52 : x
  2. Step 2: Convert to fraction form
    2,343.04/3,514.56 = 611.52/x
  3. Step 3: Cross multiply
    2,343.04x = 3,514.56 × 611.52
  4. Step 4: Simplify right side
    2,343.04x = 2,149,223.73
  5. Step 5: Solve for x
    x = 2,149,223.73/2,343.04
  6. Step 6: Final answer
    x = 917.28

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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.