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Finding the Fourth Proportional to 3,449.74, 4,760.52 and 1,877.80

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Solution

The fourth proportional to 3,449.74, 4,760.52 and 1,877.80 is: 2,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.74 : 4,760.52 = 1,877.80 : x
  2. Step 2: Convert to fraction form
    3,449.74/4,760.52 = 1,877.80/x
  3. Step 3: Cross multiply
    3,449.74x = 4,760.52 × 1,877.80
  4. Step 4: Simplify right side
    3,449.74x = 8,939,304.46
  5. Step 5: Solve for x
    x = 8,939,304.46/3,449.74
  6. Step 6: Final answer
    x = 2,591.30

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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.