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Finding the Fourth Proportional to 2,432.53, 3,648.80 and 701.16

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Solution

The fourth proportional to 2,432.53, 3,648.80 and 701.16 is: 1,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.53 : 3,648.80 = 701.16 : x
  2. Step 2: Convert to fraction form
    2,432.53/3,648.80 = 701.16/x
  3. Step 3: Cross multiply
    2,432.53x = 3,648.80 × 701.16
  4. Step 4: Simplify right side
    2,432.53x = 2,558,392.61
  5. Step 5: Solve for x
    x = 2,558,392.61/2,432.53
  6. Step 6: Final answer
    x = 1,051.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.