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Finding the Fourth Proportional to 3,074.55, 4,610.86 and 994.17

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Solution

The fourth proportional to 3,074.55, 4,610.86 and 994.17 is: 1,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.55 : 4,610.86 = 994.17 : x
  2. Step 2: Convert to fraction form
    3,074.55/4,610.86 = 994.17/x
  3. Step 3: Cross multiply
    3,074.55x = 4,610.86 × 994.17
  4. Step 4: Simplify right side
    3,074.55x = 4,583,978.69
  5. Step 5: Solve for x
    x = 4,583,978.69/3,074.55
  6. Step 6: Final answer
    x = 1,490.94

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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.