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Finding the Fourth Proportional to 2,292.75, 3,164.00 and 1,244.84

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Solution

The fourth proportional to 2,292.75, 3,164.00 and 1,244.84 is: 1,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.75 : 3,164.00 = 1,244.84 : x
  2. Step 2: Convert to fraction form
    2,292.75/3,164.00 = 1,244.84/x
  3. Step 3: Cross multiply
    2,292.75x = 3,164.00 × 1,244.84
  4. Step 4: Simplify right side
    2,292.75x = 3,938,651.72
  5. Step 5: Solve for x
    x = 3,938,651.72/2,292.75
  6. Step 6: Final answer
    x = 1,717.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.