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Finding the Fourth Proportional to 1,186.52, 1,778.16 and 1,043.96

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Solution

The fourth proportional to 1,186.52, 1,778.16 and 1,043.96 is: 1,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.52 : 1,778.16 = 1,043.96 : x
  2. Step 2: Convert to fraction form
    1,186.52/1,778.16 = 1,043.96/x
  3. Step 3: Cross multiply
    1,186.52x = 1,778.16 × 1,043.96
  4. Step 4: Simplify right side
    1,186.52x = 1,856,327.91
  5. Step 5: Solve for x
    x = 1,856,327.91/1,186.52
  6. Step 6: Final answer
    x = 1,564.51

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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.