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Finding the Fourth Proportional to 2,268.74, 3,402.29 and 787.56

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Solution

The fourth proportional to 2,268.74, 3,402.29 and 787.56 is: 1,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.74 : 3,402.29 = 787.56 : x
  2. Step 2: Convert to fraction form
    2,268.74/3,402.29 = 787.56/x
  3. Step 3: Cross multiply
    2,268.74x = 3,402.29 × 787.56
  4. Step 4: Simplify right side
    2,268.74x = 2,679,503.57
  5. Step 5: Solve for x
    x = 2,679,503.57/2,268.74
  6. Step 6: Final answer
    x = 1,181.06

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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.