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Finding the Fourth Proportional to 2,088.68, 2,882.42 and 1,204.52

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Solution

The fourth proportional to 2,088.68, 2,882.42 and 1,204.52 is: 1,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.68 : 2,882.42 = 1,204.52 : x
  2. Step 2: Convert to fraction form
    2,088.68/2,882.42 = 1,204.52/x
  3. Step 3: Cross multiply
    2,088.68x = 2,882.42 × 1,204.52
  4. Step 4: Simplify right side
    2,088.68x = 3,471,932.54
  5. Step 5: Solve for x
    x = 3,471,932.54/2,088.68
  6. Step 6: Final answer
    x = 1,662.26

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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.