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Finding the Fourth Proportional to 2,383.68, 3,287.34 and 1,598.79

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Solution

The fourth proportional to 2,383.68, 3,287.34 and 1,598.79 is: 2,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.68 : 3,287.34 = 1,598.79 : x
  2. Step 2: Convert to fraction form
    2,383.68/3,287.34 = 1,598.79/x
  3. Step 3: Cross multiply
    2,383.68x = 3,287.34 × 1,598.79
  4. Step 4: Simplify right side
    2,383.68x = 5,255,766.32
  5. Step 5: Solve for x
    x = 5,255,766.32/2,383.68
  6. Step 6: Final answer
    x = 2,204.90

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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.