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Finding the Fourth Proportional to 2,268.72, 3,402.24 and 807.48

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Solution

The fourth proportional to 2,268.72, 3,402.24 and 807.48 is: 1,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.72 : 3,402.24 = 807.48 : x
  2. Step 2: Convert to fraction form
    2,268.72/3,402.24 = 807.48/x
  3. Step 3: Cross multiply
    2,268.72x = 3,402.24 × 807.48
  4. Step 4: Simplify right side
    2,268.72x = 2,747,240.76
  5. Step 5: Solve for x
    x = 2,747,240.76/2,268.72
  6. Step 6: Final answer
    x = 1,210.92

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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.