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Finding the Fourth Proportional to 2,272.79, 3,407.60 and 1,160.04

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Solution

The fourth proportional to 2,272.79, 3,407.60 and 1,160.04 is: 1,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.79 : 3,407.60 = 1,160.04 : x
  2. Step 2: Convert to fraction form
    2,272.79/3,407.60 = 1,160.04/x
  3. Step 3: Cross multiply
    2,272.79x = 3,407.60 × 1,160.04
  4. Step 4: Simplify right side
    2,272.79x = 3,952,952.30
  5. Step 5: Solve for x
    x = 3,952,952.30/2,272.79
  6. Step 6: Final answer
    x = 1,739.25

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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.