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Finding the Fourth Proportional to 1,391.93, 1,919.40 and 867.05

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Solution

The fourth proportional to 1,391.93, 1,919.40 and 867.05 is: 1,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.93 : 1,919.40 = 867.05 : x
  2. Step 2: Convert to fraction form
    1,391.93/1,919.40 = 867.05/x
  3. Step 3: Cross multiply
    1,391.93x = 1,919.40 × 867.05
  4. Step 4: Simplify right side
    1,391.93x = 1,664,215.77
  5. Step 5: Solve for x
    x = 1,664,215.77/1,391.93
  6. Step 6: Final answer
    x = 1,195.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.