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Finding the Fourth Proportional to 2,652.18, 3,661.00 and 2,277.66

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Solution

The fourth proportional to 2,652.18, 3,661.00 and 2,277.66 is: 3,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.18 : 3,661.00 = 2,277.66 : x
  2. Step 2: Convert to fraction form
    2,652.18/3,661.00 = 2,277.66/x
  3. Step 3: Cross multiply
    2,652.18x = 3,661.00 × 2,277.66
  4. Step 4: Simplify right side
    2,652.18x = 8,338,520.61
  5. Step 5: Solve for x
    x = 8,338,520.61/2,652.18
  6. Step 6: Final answer
    x = 3,144.02

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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.