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Finding the Fourth Proportional to 3,019.30, 4,527.39 and 938.74

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Solution

The fourth proportional to 3,019.30, 4,527.39 and 938.74 is: 1,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.30 : 4,527.39 = 938.74 : x
  2. Step 2: Convert to fraction form
    3,019.30/4,527.39 = 938.74/x
  3. Step 3: Cross multiply
    3,019.30x = 4,527.39 × 938.74
  4. Step 4: Simplify right side
    3,019.30x = 4,250,042.09
  5. Step 5: Solve for x
    x = 4,250,042.09/3,019.30
  6. Step 6: Final answer
    x = 1,407.62

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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.