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Finding the Fourth Proportional to 1,638.92, 2,458.32 and 1,178.84

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Solution

The fourth proportional to 1,638.92, 2,458.32 and 1,178.84 is: 1,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.92 : 2,458.32 = 1,178.84 : x
  2. Step 2: Convert to fraction form
    1,638.92/2,458.32 = 1,178.84/x
  3. Step 3: Cross multiply
    1,638.92x = 2,458.32 × 1,178.84
  4. Step 4: Simplify right side
    1,638.92x = 2,897,965.95
  5. Step 5: Solve for x
    x = 2,897,965.95/1,638.92
  6. Step 6: Final answer
    x = 1,768.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.