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Finding the Fourth Proportional to 2,281.68, 3,148.71 and 1,287.28

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Solution

The fourth proportional to 2,281.68, 3,148.71 and 1,287.28 is: 1,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.68 : 3,148.71 = 1,287.28 : x
  2. Step 2: Convert to fraction form
    2,281.68/3,148.71 = 1,287.28/x
  3. Step 3: Cross multiply
    2,281.68x = 3,148.71 × 1,287.28
  4. Step 4: Simplify right side
    2,281.68x = 4,053,270.52
  5. Step 5: Solve for x
    x = 4,053,270.52/2,281.68
  6. Step 6: Final answer
    x = 1,776.44

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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.