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Finding the Fourth Proportional to 2,912.57, 4,369.72 and 1,680.87

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Solution

The fourth proportional to 2,912.57, 4,369.72 and 1,680.87 is: 2,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.57 : 4,369.72 = 1,680.87 : x
  2. Step 2: Convert to fraction form
    2,912.57/4,369.72 = 1,680.87/x
  3. Step 3: Cross multiply
    2,912.57x = 4,369.72 × 1,680.87
  4. Step 4: Simplify right side
    2,912.57x = 7,344,931.26
  5. Step 5: Solve for x
    x = 7,344,931.26/2,912.57
  6. Step 6: Final answer
    x = 2,521.80

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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.