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Finding the Fourth Proportional to 2,997.61, 4,139.91 and 2,281.80

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Solution

The fourth proportional to 2,997.61, 4,139.91 and 2,281.80 is: 3,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.61 : 4,139.91 = 2,281.80 : x
  2. Step 2: Convert to fraction form
    2,997.61/4,139.91 = 2,281.80/x
  3. Step 3: Cross multiply
    2,997.61x = 4,139.91 × 2,281.80
  4. Step 4: Simplify right side
    2,997.61x = 9,446,462.16
  5. Step 5: Solve for x
    x = 9,446,462.16/2,997.61
  6. Step 6: Final answer
    x = 3,151.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.