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Finding the Fourth Proportional to 2,647.74, 3,653.95 and 1,452.78

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Solution

The fourth proportional to 2,647.74, 3,653.95 and 1,452.78 is: 2,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.74 : 3,653.95 = 1,452.78 : x
  2. Step 2: Convert to fraction form
    2,647.74/3,653.95 = 1,452.78/x
  3. Step 3: Cross multiply
    2,647.74x = 3,653.95 × 1,452.78
  4. Step 4: Simplify right side
    2,647.74x = 5,308,384.57
  5. Step 5: Solve for x
    x = 5,308,384.57/2,647.74
  6. Step 6: Final answer
    x = 2,004.88

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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.