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Finding the Fourth Proportional to 2,280.71, 3,419.70 and 1,108.41

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Solution

The fourth proportional to 2,280.71, 3,419.70 and 1,108.41 is: 1,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.71 : 3,419.70 = 1,108.41 : x
  2. Step 2: Convert to fraction form
    2,280.71/3,419.70 = 1,108.41/x
  3. Step 3: Cross multiply
    2,280.71x = 3,419.70 × 1,108.41
  4. Step 4: Simplify right side
    2,280.71x = 3,790,412.58
  5. Step 5: Solve for x
    x = 3,790,412.58/2,280.71
  6. Step 6: Final answer
    x = 1,661.94

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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.