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Finding the Fourth Proportional to 1,291.62, 1,944.73 and 1,138.53

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Solution

The fourth proportional to 1,291.62, 1,944.73 and 1,138.53 is: 1,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.62 : 1,944.73 = 1,138.53 : x
  2. Step 2: Convert to fraction form
    1,291.62/1,944.73 = 1,138.53/x
  3. Step 3: Cross multiply
    1,291.62x = 1,944.73 × 1,138.53
  4. Step 4: Simplify right side
    1,291.62x = 2,214,133.45
  5. Step 5: Solve for x
    x = 2,214,133.45/1,291.62
  6. Step 6: Final answer
    x = 1,714.23

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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.