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Finding the Fourth Proportional to 2,447.82, 3,669.50 and 887.15

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Solution

The fourth proportional to 2,447.82, 3,669.50 and 887.15 is: 1,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.82 : 3,669.50 = 887.15 : x
  2. Step 2: Convert to fraction form
    2,447.82/3,669.50 = 887.15/x
  3. Step 3: Cross multiply
    2,447.82x = 3,669.50 × 887.15
  4. Step 4: Simplify right side
    2,447.82x = 3,255,408.32
  5. Step 5: Solve for x
    x = 3,255,408.32/2,447.82
  6. Step 6: Final answer
    x = 1,329.92

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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.