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Finding the Fourth Proportional to 1,359.44, 1,874.96 and 1,202.24

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Solution

The fourth proportional to 1,359.44, 1,874.96 and 1,202.24 is: 1,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.44 : 1,874.96 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    1,359.44/1,874.96 = 1,202.24/x
  3. Step 3: Cross multiply
    1,359.44x = 1,874.96 × 1,202.24
  4. Step 4: Simplify right side
    1,359.44x = 2,254,151.91
  5. Step 5: Solve for x
    x = 2,254,151.91/1,359.44
  6. Step 6: Final answer
    x = 1,658.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.