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Finding the Fourth Proportional to 2,104.68, 2,908.32 and 2,003.52

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Solution

The fourth proportional to 2,104.68, 2,908.32 and 2,003.52 is: 2,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.68 : 2,908.32 = 2,003.52 : x
  2. Step 2: Convert to fraction form
    2,104.68/2,908.32 = 2,003.52/x
  3. Step 3: Cross multiply
    2,104.68x = 2,908.32 × 2,003.52
  4. Step 4: Simplify right side
    2,104.68x = 5,826,877.29
  5. Step 5: Solve for x
    x = 5,826,877.29/2,104.68
  6. Step 6: Final answer
    x = 2,768.53

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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.