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Finding the Fourth Proportional to 2,077.60, 3,114.24 and 922

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Solution

The fourth proportional to 2,077.60, 3,114.24 and 922 is: 1,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.60 : 3,114.24 = 922 : x
  2. Step 2: Convert to fraction form
    2,077.60/3,114.24 = 922/x
  3. Step 3: Cross multiply
    2,077.60x = 3,114.24 × 922
  4. Step 4: Simplify right side
    2,077.60x = 2,871,329.28
  5. Step 5: Solve for x
    x = 2,871,329.28/2,077.60
  6. Step 6: Final answer
    x = 1,382.04

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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.