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Finding the Fourth Proportional to 3,180.24, 4,770.63 and 988.52

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Solution

The fourth proportional to 3,180.24, 4,770.63 and 988.52 is: 1,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.24 : 4,770.63 = 988.52 : x
  2. Step 2: Convert to fraction form
    3,180.24/4,770.63 = 988.52/x
  3. Step 3: Cross multiply
    3,180.24x = 4,770.63 × 988.52
  4. Step 4: Simplify right side
    3,180.24x = 4,715,839.31
  5. Step 5: Solve for x
    x = 4,715,839.31/3,180.24
  6. Step 6: Final answer
    x = 1,482.86

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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.