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Finding the Fourth Proportional to 1,691.45, 2,540.84 and 1,431.98

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Solution

The fourth proportional to 1,691.45, 2,540.84 and 1,431.98 is: 2,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.45 : 2,540.84 = 1,431.98 : x
  2. Step 2: Convert to fraction form
    1,691.45/2,540.84 = 1,431.98/x
  3. Step 3: Cross multiply
    1,691.45x = 2,540.84 × 1,431.98
  4. Step 4: Simplify right side
    1,691.45x = 3,638,412.20
  5. Step 5: Solve for x
    x = 3,638,412.20/1,691.45
  6. Step 6: Final answer
    x = 2,151.07

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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.