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Finding the Fourth Proportional to 2,315.67, 3,475.95 and 2,263.44

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Solution

The fourth proportional to 2,315.67, 3,475.95 and 2,263.44 is: 3,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.67 : 3,475.95 = 2,263.44 : x
  2. Step 2: Convert to fraction form
    2,315.67/3,475.95 = 2,263.44/x
  3. Step 3: Cross multiply
    2,315.67x = 3,475.95 × 2,263.44
  4. Step 4: Simplify right side
    2,315.67x = 7,867,604.27
  5. Step 5: Solve for x
    x = 7,867,604.27/2,315.67
  6. Step 6: Final answer
    x = 3,397.55

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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.