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Finding the Fourth Proportional to 2,278.32, 3,417.12 and 1,787.28

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Solution

The fourth proportional to 2,278.32, 3,417.12 and 1,787.28 is: 2,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.32 : 3,417.12 = 1,787.28 : x
  2. Step 2: Convert to fraction form
    2,278.32/3,417.12 = 1,787.28/x
  3. Step 3: Cross multiply
    2,278.32x = 3,417.12 × 1,787.28
  4. Step 4: Simplify right side
    2,278.32x = 6,107,350.23
  5. Step 5: Solve for x
    x = 6,107,350.23/2,278.32
  6. Step 6: Final answer
    x = 2,680.64

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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.