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Finding the Fourth Proportional to 2,589.98, 3,881.88 and 1,355.20

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Solution

The fourth proportional to 2,589.98, 3,881.88 and 1,355.20 is: 2,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.98 : 3,881.88 = 1,355.20 : x
  2. Step 2: Convert to fraction form
    2,589.98/3,881.88 = 1,355.20/x
  3. Step 3: Cross multiply
    2,589.98x = 3,881.88 × 1,355.20
  4. Step 4: Simplify right side
    2,589.98x = 5,260,714.07
  5. Step 5: Solve for x
    x = 5,260,714.07/2,589.98
  6. Step 6: Final answer
    x = 2,031.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.