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Finding the Fourth Proportional to 1,610.98, 2,414.77 and 788.11

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Solution

The fourth proportional to 1,610.98, 2,414.77 and 788.11 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.98 : 2,414.77 = 788.11 : x
  2. Step 2: Convert to fraction form
    1,610.98/2,414.77 = 788.11/x
  3. Step 3: Cross multiply
    1,610.98x = 2,414.77 × 788.11
  4. Step 4: Simplify right side
    1,610.98x = 1,903,104.38
  5. Step 5: Solve for x
    x = 1,903,104.38/1,610.98
  6. Step 6: Final answer
    x = 1,181.33

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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.