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Finding the Fourth Proportional to 2,432.38, 3,648.42 and 701.02

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Solution

The fourth proportional to 2,432.38, 3,648.42 and 701.02 is: 1,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.38 : 3,648.42 = 701.02 : x
  2. Step 2: Convert to fraction form
    2,432.38/3,648.42 = 701.02/x
  3. Step 3: Cross multiply
    2,432.38x = 3,648.42 × 701.02
  4. Step 4: Simplify right side
    2,432.38x = 2,557,615.39
  5. Step 5: Solve for x
    x = 2,557,615.39/2,432.38
  6. Step 6: Final answer
    x = 1,051.49

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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.