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Finding the Fourth Proportional to 3,232.32, 4,459.68 and 1,990.72

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Solution

The fourth proportional to 3,232.32, 4,459.68 and 1,990.72 is: 2,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.32 : 4,459.68 = 1,990.72 : x
  2. Step 2: Convert to fraction form
    3,232.32/4,459.68 = 1,990.72/x
  3. Step 3: Cross multiply
    3,232.32x = 4,459.68 × 1,990.72
  4. Step 4: Simplify right side
    3,232.32x = 8,877,974.17
  5. Step 5: Solve for x
    x = 8,877,974.17/3,232.32
  6. Step 6: Final answer
    x = 2,746.63

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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.