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Finding the Fourth Proportional to 2,647.04, 3,649.60 and 2,248.32

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Solution

The fourth proportional to 2,647.04, 3,649.60 and 2,248.32 is: 3,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.04 : 3,649.60 = 2,248.32 : x
  2. Step 2: Convert to fraction form
    2,647.04/3,649.60 = 2,248.32/x
  3. Step 3: Cross multiply
    2,647.04x = 3,649.60 × 2,248.32
  4. Step 4: Simplify right side
    2,647.04x = 8,205,468.67
  5. Step 5: Solve for x
    x = 8,205,468.67/2,647.04
  6. Step 6: Final answer
    x = 3,099.87

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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.