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Finding the Fourth Proportional to 2,507.73, 3,452.61 and 2,176.02

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Solution

The fourth proportional to 2,507.73, 3,452.61 and 2,176.02 is: 2,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.73 : 3,452.61 = 2,176.02 : x
  2. Step 2: Convert to fraction form
    2,507.73/3,452.61 = 2,176.02/x
  3. Step 3: Cross multiply
    2,507.73x = 3,452.61 × 2,176.02
  4. Step 4: Simplify right side
    2,507.73x = 7,512,948.41
  5. Step 5: Solve for x
    x = 7,512,948.41/2,507.73
  6. Step 6: Final answer
    x = 2,995.92

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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.