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Finding the Fourth Proportional to 2,269.30, 3,402.42 and 788.14

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Solution

The fourth proportional to 2,269.30, 3,402.42 and 788.14 is: 1,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.30 : 3,402.42 = 788.14 : x
  2. Step 2: Convert to fraction form
    2,269.30/3,402.42 = 788.14/x
  3. Step 3: Cross multiply
    2,269.30x = 3,402.42 × 788.14
  4. Step 4: Simplify right side
    2,269.30x = 2,681,583.30
  5. Step 5: Solve for x
    x = 2,681,583.30/2,269.30
  6. Step 6: Final answer
    x = 1,181.68

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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.