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Finding the Fourth Proportional to 1,445.38, 2,167.98 and 827.53

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Solution

The fourth proportional to 1,445.38, 2,167.98 and 827.53 is: 1,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.38 : 2,167.98 = 827.53 : x
  2. Step 2: Convert to fraction form
    1,445.38/2,167.98 = 827.53/x
  3. Step 3: Cross multiply
    1,445.38x = 2,167.98 × 827.53
  4. Step 4: Simplify right side
    1,445.38x = 1,794,068.49
  5. Step 5: Solve for x
    x = 1,794,068.49/1,445.38
  6. Step 6: Final answer
    x = 1,241.24

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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.