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Finding the Fourth Proportional to 2,470.64, 3,705.98 and 827.19

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Solution

The fourth proportional to 2,470.64, 3,705.98 and 827.19 is: 1,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.64 : 3,705.98 = 827.19 : x
  2. Step 2: Convert to fraction form
    2,470.64/3,705.98 = 827.19/x
  3. Step 3: Cross multiply
    2,470.64x = 3,705.98 × 827.19
  4. Step 4: Simplify right side
    2,470.64x = 3,065,545.46
  5. Step 5: Solve for x
    x = 3,065,545.46/2,470.64
  6. Step 6: Final answer
    x = 1,240.79

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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.