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Finding the Fourth Proportional to 2,872.71, 4,294.98 and 2,438.82

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Solution

The fourth proportional to 2,872.71, 4,294.98 and 2,438.82 is: 3,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.71 : 4,294.98 = 2,438.82 : x
  2. Step 2: Convert to fraction form
    2,872.71/4,294.98 = 2,438.82/x
  3. Step 3: Cross multiply
    2,872.71x = 4,294.98 × 2,438.82
  4. Step 4: Simplify right side
    2,872.71x = 10,474,683.12
  5. Step 5: Solve for x
    x = 10,474,683.12/2,872.71
  6. Step 6: Final answer
    x = 3,646.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.