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Finding the Fourth Proportional to 3,301.84, 4,951.86 and 1,327.48

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Solution

The fourth proportional to 3,301.84, 4,951.86 and 1,327.48 is: 1,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.84 : 4,951.86 = 1,327.48 : x
  2. Step 2: Convert to fraction form
    3,301.84/4,951.86 = 1,327.48/x
  3. Step 3: Cross multiply
    3,301.84x = 4,951.86 × 1,327.48
  4. Step 4: Simplify right side
    3,301.84x = 6,573,495.11
  5. Step 5: Solve for x
    x = 6,573,495.11/3,301.84
  6. Step 6: Final answer
    x = 1,990.86

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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.