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Finding the Fourth Proportional to 2,286.18, 3,430.59 and 969.83

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Solution

The fourth proportional to 2,286.18, 3,430.59 and 969.83 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.18 : 3,430.59 = 969.83 : x
  2. Step 2: Convert to fraction form
    2,286.18/3,430.59 = 969.83/x
  3. Step 3: Cross multiply
    2,286.18x = 3,430.59 × 969.83
  4. Step 4: Simplify right side
    2,286.18x = 3,327,081.17
  5. Step 5: Solve for x
    x = 3,327,081.17/2,286.18
  6. Step 6: Final answer
    x = 1,455.30

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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.