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Finding the Fourth Proportional to 2,432.58, 3,648.84 and 701.20

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Solution

The fourth proportional to 2,432.58, 3,648.84 and 701.20 is: 1,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.58 : 3,648.84 = 701.20 : x
  2. Step 2: Convert to fraction form
    2,432.58/3,648.84 = 701.20/x
  3. Step 3: Cross multiply
    2,432.58x = 3,648.84 × 701.20
  4. Step 4: Simplify right side
    2,432.58x = 2,558,566.61
  5. Step 5: Solve for x
    x = 2,558,566.61/2,432.58
  6. Step 6: Final answer
    x = 1,051.79

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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.