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Finding the Fourth Proportional to 2,286.18, 3,430.60 and 969.86

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Solution

The fourth proportional to 2,286.18, 3,430.60 and 969.86 is: 1,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.18 : 3,430.60 = 969.86 : x
  2. Step 2: Convert to fraction form
    2,286.18/3,430.60 = 969.86/x
  3. Step 3: Cross multiply
    2,286.18x = 3,430.60 × 969.86
  4. Step 4: Simplify right side
    2,286.18x = 3,327,201.72
  5. Step 5: Solve for x
    x = 3,327,201.72/2,286.18
  6. Step 6: Final answer
    x = 1,455.35

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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.