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Finding the Fourth Proportional to 2,452.58, 3,382.84 and 1,613.01

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Solution

The fourth proportional to 2,452.58, 3,382.84 and 1,613.01 is: 2,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.58 : 3,382.84 = 1,613.01 : x
  2. Step 2: Convert to fraction form
    2,452.58/3,382.84 = 1,613.01/x
  3. Step 3: Cross multiply
    2,452.58x = 3,382.84 × 1,613.01
  4. Step 4: Simplify right side
    2,452.58x = 5,456,554.75
  5. Step 5: Solve for x
    x = 5,456,554.75/2,452.58
  6. Step 6: Final answer
    x = 2,224.82

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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.