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Finding the Fourth Proportional to 1,787.19, 2,680.69 and 488.65

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Solution

The fourth proportional to 1,787.19, 2,680.69 and 488.65 is: 732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.19 : 2,680.69 = 488.65 : x
  2. Step 2: Convert to fraction form
    1,787.19/2,680.69 = 488.65/x
  3. Step 3: Cross multiply
    1,787.19x = 2,680.69 × 488.65
  4. Step 4: Simplify right side
    1,787.19x = 1,309,919.17
  5. Step 5: Solve for x
    x = 1,309,919.17/1,787.19
  6. Step 6: Final answer
    x = 732.95

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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.