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Finding the Fourth Proportional to 1,292.90, 1,944.81 and 1,172.61

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Solution

The fourth proportional to 1,292.90, 1,944.81 and 1,172.61 is: 1,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.90 : 1,944.81 = 1,172.61 : x
  2. Step 2: Convert to fraction form
    1,292.90/1,944.81 = 1,172.61/x
  3. Step 3: Cross multiply
    1,292.90x = 1,944.81 × 1,172.61
  4. Step 4: Simplify right side
    1,292.90x = 2,280,503.65
  5. Step 5: Solve for x
    x = 2,280,503.65/1,292.90
  6. Step 6: Final answer
    x = 1,763.87

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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.