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Finding the Fourth Proportional to 2,280.84, 3,149.10 and 1,496.22

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Solution

The fourth proportional to 2,280.84, 3,149.10 and 1,496.22 is: 2,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.84 : 3,149.10 = 1,496.22 : x
  2. Step 2: Convert to fraction form
    2,280.84/3,149.10 = 1,496.22/x
  3. Step 3: Cross multiply
    2,280.84x = 3,149.10 × 1,496.22
  4. Step 4: Simplify right side
    2,280.84x = 4,711,746.40
  5. Step 5: Solve for x
    x = 4,711,746.40/2,280.84
  6. Step 6: Final answer
    x = 2,065.79

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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.