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Finding the Fourth Proportional to 2,280.26, 3,419.03 and 891.95

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Solution

The fourth proportional to 2,280.26, 3,419.03 and 891.95 is: 1,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.26 : 3,419.03 = 891.95 : x
  2. Step 2: Convert to fraction form
    2,280.26/3,419.03 = 891.95/x
  3. Step 3: Cross multiply
    2,280.26x = 3,419.03 × 891.95
  4. Step 4: Simplify right side
    2,280.26x = 3,049,582.25
  5. Step 5: Solve for x
    x = 3,049,582.25/2,280.26
  6. Step 6: Final answer
    x = 1,337.38

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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.