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Finding the Fourth Proportional to 2,722.39, 4,084.19 and 991

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Solution

The fourth proportional to 2,722.39, 4,084.19 and 991 is: 1,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.39 : 4,084.19 = 991 : x
  2. Step 2: Convert to fraction form
    2,722.39/4,084.19 = 991/x
  3. Step 3: Cross multiply
    2,722.39x = 4,084.19 × 991
  4. Step 4: Simplify right side
    2,722.39x = 4,047,432.29
  5. Step 5: Solve for x
    x = 4,047,432.29/2,722.39
  6. Step 6: Final answer
    x = 1,486.72

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Why These Related Problems?

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