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Finding the Fourth Proportional to 1,281.57, 1,920.11 and 1,147.11

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Solution

The fourth proportional to 1,281.57, 1,920.11 and 1,147.11 is: 1,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.57 : 1,920.11 = 1,147.11 : x
  2. Step 2: Convert to fraction form
    1,281.57/1,920.11 = 1,147.11/x
  3. Step 3: Cross multiply
    1,281.57x = 1,920.11 × 1,147.11
  4. Step 4: Simplify right side
    1,281.57x = 2,202,571.65
  5. Step 5: Solve for x
    x = 2,202,571.65/1,281.57
  6. Step 6: Final answer
    x = 1,718.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.