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Finding the Fourth Proportional to 1,609.35, 2,414.49 and 788.10

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Solution

The fourth proportional to 1,609.35, 2,414.49 and 788.10 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.35 : 2,414.49 = 788.10 : x
  2. Step 2: Convert to fraction form
    1,609.35/2,414.49 = 788.10/x
  3. Step 3: Cross multiply
    1,609.35x = 2,414.49 × 788.10
  4. Step 4: Simplify right side
    1,609.35x = 1,902,859.57
  5. Step 5: Solve for x
    x = 1,902,859.57/1,609.35
  6. Step 6: Final answer
    x = 1,182.38

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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.