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Finding the Fourth Proportional to 2,939.60, 4,409.60 and 991.95

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Solution

The fourth proportional to 2,939.60, 4,409.60 and 991.95 is: 1,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.60 : 4,409.60 = 991.95 : x
  2. Step 2: Convert to fraction form
    2,939.60/4,409.60 = 991.95/x
  3. Step 3: Cross multiply
    2,939.60x = 4,409.60 × 991.95
  4. Step 4: Simplify right side
    2,939.60x = 4,374,097.76
  5. Step 5: Solve for x
    x = 4,374,097.76/2,939.60
  6. Step 6: Final answer
    x = 1,487.99

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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.