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Finding the Fourth Proportional to 3,065.18, 4,597.49 and 984.62

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Solution

The fourth proportional to 3,065.18, 4,597.49 and 984.62 is: 1,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.18 : 4,597.49 = 984.62 : x
  2. Step 2: Convert to fraction form
    3,065.18/4,597.49 = 984.62/x
  3. Step 3: Cross multiply
    3,065.18x = 4,597.49 × 984.62
  4. Step 4: Simplify right side
    3,065.18x = 4,526,794.56
  5. Step 5: Solve for x
    x = 4,526,794.56/3,065.18
  6. Step 6: Final answer
    x = 1,476.85

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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.