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Finding the Fourth Proportional to 2,260.68, 3,344.84 and 2,254.20

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Solution

The fourth proportional to 2,260.68, 3,344.84 and 2,254.20 is: 3,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.68 : 3,344.84 = 2,254.20 : x
  2. Step 2: Convert to fraction form
    2,260.68/3,344.84 = 2,254.20/x
  3. Step 3: Cross multiply
    2,260.68x = 3,344.84 × 2,254.20
  4. Step 4: Simplify right side
    2,260.68x = 7,539,938.33
  5. Step 5: Solve for x
    x = 7,539,938.33/2,260.68
  6. Step 6: Final answer
    x = 3,335.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.