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Finding the Fourth Proportional to 2,077.48, 3,114.46 and 922.60

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Solution

The fourth proportional to 2,077.48, 3,114.46 and 922.60 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.48 : 3,114.46 = 922.60 : x
  2. Step 2: Convert to fraction form
    2,077.48/3,114.46 = 922.60/x
  3. Step 3: Cross multiply
    2,077.48x = 3,114.46 × 922.60
  4. Step 4: Simplify right side
    2,077.48x = 2,873,400.80
  5. Step 5: Solve for x
    x = 2,873,400.80/2,077.48
  6. Step 6: Final answer
    x = 1,383.12

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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.