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Finding the Fourth Proportional to 2,293.59, 3,431.88 and 1,369.65

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Solution

The fourth proportional to 2,293.59, 3,431.88 and 1,369.65 is: 2,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.59 : 3,431.88 = 1,369.65 : x
  2. Step 2: Convert to fraction form
    2,293.59/3,431.88 = 1,369.65/x
  3. Step 3: Cross multiply
    2,293.59x = 3,431.88 × 1,369.65
  4. Step 4: Simplify right side
    2,293.59x = 4,700,474.44
  5. Step 5: Solve for x
    x = 4,700,474.44/2,293.59
  6. Step 6: Final answer
    x = 2,049.40

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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.