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Finding the Fourth Proportional to 1,752.96, 2,630.08 and 827.82

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Solution

The fourth proportional to 1,752.96, 2,630.08 and 827.82 is: 1,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.96 : 2,630.08 = 827.82 : x
  2. Step 2: Convert to fraction form
    1,752.96/2,630.08 = 827.82/x
  3. Step 3: Cross multiply
    1,752.96x = 2,630.08 × 827.82
  4. Step 4: Simplify right side
    1,752.96x = 2,177,231.53
  5. Step 5: Solve for x
    x = 2,177,231.53/1,752.96
  6. Step 6: Final answer
    x = 1,242.03

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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.