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Finding the Fourth Proportional to 2,452.73, 3,681.72 and 1,356.80

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Solution

The fourth proportional to 2,452.73, 3,681.72 and 1,356.80 is: 2,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.73 : 3,681.72 = 1,356.80 : x
  2. Step 2: Convert to fraction form
    2,452.73/3,681.72 = 1,356.80/x
  3. Step 3: Cross multiply
    2,452.73x = 3,681.72 × 1,356.80
  4. Step 4: Simplify right side
    2,452.73x = 4,995,339.29
  5. Step 5: Solve for x
    x = 4,995,339.29/2,452.73
  6. Step 6: Final answer
    x = 2,036.65

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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.