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Finding the Fourth Proportional to 1,291.72, 1,944.61 and 1,176.90

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Solution

The fourth proportional to 1,291.72, 1,944.61 and 1,176.90 is: 1,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.72 : 1,944.61 = 1,176.90 : x
  2. Step 2: Convert to fraction form
    1,291.72/1,944.61 = 1,176.90/x
  3. Step 3: Cross multiply
    1,291.72x = 1,944.61 × 1,176.90
  4. Step 4: Simplify right side
    1,291.72x = 2,288,605.62
  5. Step 5: Solve for x
    x = 2,288,605.62/1,291.72
  6. Step 6: Final answer
    x = 1,771.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.