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Finding the Fourth Proportional to 2,132.86, 3,196.67 and 962.53

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Solution

The fourth proportional to 2,132.86, 3,196.67 and 962.53 is: 1,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.86 : 3,196.67 = 962.53 : x
  2. Step 2: Convert to fraction form
    2,132.86/3,196.67 = 962.53/x
  3. Step 3: Cross multiply
    2,132.86x = 3,196.67 × 962.53
  4. Step 4: Simplify right side
    2,132.86x = 3,076,892.38
  5. Step 5: Solve for x
    x = 3,076,892.38/2,132.86
  6. Step 6: Final answer
    x = 1,442.61

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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.