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Finding the Fourth Proportional to 2,157.66, 3,239.10 and 1,427.88

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Solution

The fourth proportional to 2,157.66, 3,239.10 and 1,427.88 is: 2,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.66 : 3,239.10 = 1,427.88 : x
  2. Step 2: Convert to fraction form
    2,157.66/3,239.10 = 1,427.88/x
  3. Step 3: Cross multiply
    2,157.66x = 3,239.10 × 1,427.88
  4. Step 4: Simplify right side
    2,157.66x = 4,625,046.11
  5. Step 5: Solve for x
    x = 4,625,046.11/2,157.66
  6. Step 6: Final answer
    x = 2,143.55

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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.