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Finding the Fourth Proportional to 1,768.79, 2,439.02 and 1,105.40

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Solution

The fourth proportional to 1,768.79, 2,439.02 and 1,105.40 is: 1,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.79 : 2,439.02 = 1,105.40 : x
  2. Step 2: Convert to fraction form
    1,768.79/2,439.02 = 1,105.40/x
  3. Step 3: Cross multiply
    1,768.79x = 2,439.02 × 1,105.40
  4. Step 4: Simplify right side
    1,768.79x = 2,696,083.28
  5. Step 5: Solve for x
    x = 2,696,083.28/1,768.79
  6. Step 6: Final answer
    x = 1,524.26

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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.