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Finding the Fourth Proportional to 2,915.71, 4,372.14 and 967.25

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Solution

The fourth proportional to 2,915.71, 4,372.14 and 967.25 is: 1,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.71 : 4,372.14 = 967.25 : x
  2. Step 2: Convert to fraction form
    2,915.71/4,372.14 = 967.25/x
  3. Step 3: Cross multiply
    2,915.71x = 4,372.14 × 967.25
  4. Step 4: Simplify right side
    2,915.71x = 4,228,952.42
  5. Step 5: Solve for x
    x = 4,228,952.42/2,915.71
  6. Step 6: Final answer
    x = 1,450.40

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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.