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Finding the Fourth Proportional to 3,148.70, 4,724.85 and 1,202.30

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Solution

The fourth proportional to 3,148.70, 4,724.85 and 1,202.30 is: 1,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.70 : 4,724.85 = 1,202.30 : x
  2. Step 2: Convert to fraction form
    3,148.70/4,724.85 = 1,202.30/x
  3. Step 3: Cross multiply
    3,148.70x = 4,724.85 × 1,202.30
  4. Step 4: Simplify right side
    3,148.70x = 5,680,687.16
  5. Step 5: Solve for x
    x = 5,680,687.16/3,148.70
  6. Step 6: Final answer
    x = 1,804.14

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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.