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Finding the Fourth Proportional to 2,281.77, 3,148.88 and 1,397.25

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Solution

The fourth proportional to 2,281.77, 3,148.88 and 1,397.25 is: 1,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.77 : 3,148.88 = 1,397.25 : x
  2. Step 2: Convert to fraction form
    2,281.77/3,148.88 = 1,397.25/x
  3. Step 3: Cross multiply
    2,281.77x = 3,148.88 × 1,397.25
  4. Step 4: Simplify right side
    2,281.77x = 4,399,765.59
  5. Step 5: Solve for x
    x = 4,399,765.59/2,281.77
  6. Step 6: Final answer
    x = 1,928.22

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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.