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Finding the Fourth Proportional to 1,753.72, 2,642.65 and 1,452.35

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Solution

The fourth proportional to 1,753.72, 2,642.65 and 1,452.35 is: 2,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.72 : 2,642.65 = 1,452.35 : x
  2. Step 2: Convert to fraction form
    1,753.72/2,642.65 = 1,452.35/x
  3. Step 3: Cross multiply
    1,753.72x = 2,642.65 × 1,452.35
  4. Step 4: Simplify right side
    1,753.72x = 3,838,045.47
  5. Step 5: Solve for x
    x = 3,838,045.47/1,753.72
  6. Step 6: Final answer
    x = 2,188.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.