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Finding the Fourth Proportional to 2,074.93, 3,111.91 and 613.73

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Solution

The fourth proportional to 2,074.93, 3,111.91 and 613.73 is: 920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.93 : 3,111.91 = 613.73 : x
  2. Step 2: Convert to fraction form
    2,074.93/3,111.91 = 613.73/x
  3. Step 3: Cross multiply
    2,074.93x = 3,111.91 × 613.73
  4. Step 4: Simplify right side
    2,074.93x = 1,909,872.52
  5. Step 5: Solve for x
    x = 1,909,872.52/2,074.93
  6. Step 6: Final answer
    x = 920.45

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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.