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Finding the Fourth Proportional to 3,132.84, 4,321.80 and 1,954.20

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Solution

The fourth proportional to 3,132.84, 4,321.80 and 1,954.20 is: 2,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 4,321.80 = 1,954.20 : x
  2. Step 2: Convert to fraction form
    3,132.84/4,321.80 = 1,954.20/x
  3. Step 3: Cross multiply
    3,132.84x = 4,321.80 × 1,954.20
  4. Step 4: Simplify right side
    3,132.84x = 8,445,661.56
  5. Step 5: Solve for x
    x = 8,445,661.56/3,132.84
  6. Step 6: Final answer
    x = 2,695.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.