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Finding the Fourth Proportional to 2,663.95, 3,676.20 and 1,452.65

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Solution

The fourth proportional to 2,663.95, 3,676.20 and 1,452.65 is: 2,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.95 : 3,676.20 = 1,452.65 : x
  2. Step 2: Convert to fraction form
    2,663.95/3,676.20 = 1,452.65/x
  3. Step 3: Cross multiply
    2,663.95x = 3,676.20 × 1,452.65
  4. Step 4: Simplify right side
    2,663.95x = 5,340,213.55
  5. Step 5: Solve for x
    x = 5,340,213.55/2,663.95
  6. Step 6: Final answer
    x = 2,004.62

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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.