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Finding the Fourth Proportional to 2,074.48, 3,111.72 and 614.73

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Solution

The fourth proportional to 2,074.48, 3,111.72 and 614.73 is: 922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.48 : 3,111.72 = 614.73 : x
  2. Step 2: Convert to fraction form
    2,074.48/3,111.72 = 614.73/x
  3. Step 3: Cross multiply
    2,074.48x = 3,111.72 × 614.73
  4. Step 4: Simplify right side
    2,074.48x = 1,912,867.64
  5. Step 5: Solve for x
    x = 1,912,867.64/2,074.48
  6. Step 6: Final answer
    x = 922.10

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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.