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Finding the Fourth Proportional to 1,606.38, 2,410.17 and 728.85

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Solution

The fourth proportional to 1,606.38, 2,410.17 and 728.85 is: 1,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.38 : 2,410.17 = 728.85 : x
  2. Step 2: Convert to fraction form
    1,606.38/2,410.17 = 728.85/x
  3. Step 3: Cross multiply
    1,606.38x = 2,410.17 × 728.85
  4. Step 4: Simplify right side
    1,606.38x = 1,756,652.40
  5. Step 5: Solve for x
    x = 1,756,652.40/1,606.38
  6. Step 6: Final answer
    x = 1,093.55

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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.