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Finding the Fourth Proportional to 2,470.96, 3,706.08 and 827.50

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Solution

The fourth proportional to 2,470.96, 3,706.08 and 827.50 is: 1,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.96 : 3,706.08 = 827.50 : x
  2. Step 2: Convert to fraction form
    2,470.96/3,706.08 = 827.50/x
  3. Step 3: Cross multiply
    2,470.96x = 3,706.08 × 827.50
  4. Step 4: Simplify right side
    2,470.96x = 3,066,781.20
  5. Step 5: Solve for x
    x = 3,066,781.20/2,470.96
  6. Step 6: Final answer
    x = 1,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.