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Finding the Fourth Proportional to 2,281.84, 3,148.98 and 1,287.10

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Solution

The fourth proportional to 2,281.84, 3,148.98 and 1,287.10 is: 1,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.84 : 3,148.98 = 1,287.10 : x
  2. Step 2: Convert to fraction form
    2,281.84/3,148.98 = 1,287.10/x
  3. Step 3: Cross multiply
    2,281.84x = 3,148.98 × 1,287.10
  4. Step 4: Simplify right side
    2,281.84x = 4,053,052.16
  5. Step 5: Solve for x
    x = 4,053,052.16/2,281.84
  6. Step 6: Final answer
    x = 1,776.22

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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.