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Finding the Fourth Proportional to 2,074.86, 3,112.74 and 614.12

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Solution

The fourth proportional to 2,074.86, 3,112.74 and 614.12 is: 921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.86 : 3,112.74 = 614.12 : x
  2. Step 2: Convert to fraction form
    2,074.86/3,112.74 = 614.12/x
  3. Step 3: Cross multiply
    2,074.86x = 3,112.74 × 614.12
  4. Step 4: Simplify right side
    2,074.86x = 1,911,580.33
  5. Step 5: Solve for x
    x = 1,911,580.33/2,074.86
  6. Step 6: Final answer
    x = 921.31

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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.