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Finding the Fourth Proportional to 2,997.90, 4,484.84 and 2,591.42

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Solution

The fourth proportional to 2,997.90, 4,484.84 and 2,591.42 is: 3,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.90 : 4,484.84 = 2,591.42 : x
  2. Step 2: Convert to fraction form
    2,997.90/4,484.84 = 2,591.42/x
  3. Step 3: Cross multiply
    2,997.90x = 4,484.84 × 2,591.42
  4. Step 4: Simplify right side
    2,997.90x = 11,622,068.69
  5. Step 5: Solve for x
    x = 11,622,068.69/2,997.90
  6. Step 6: Final answer
    x = 3,876.74

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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.