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Finding the Fourth Proportional to 2,915.24, 4,372.80 and 967.46

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Solution

The fourth proportional to 2,915.24, 4,372.80 and 967.46 is: 1,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.24 : 4,372.80 = 967.46 : x
  2. Step 2: Convert to fraction form
    2,915.24/4,372.80 = 967.46/x
  3. Step 3: Cross multiply
    2,915.24x = 4,372.80 × 967.46
  4. Step 4: Simplify right side
    2,915.24x = 4,230,509.09
  5. Step 5: Solve for x
    x = 4,230,509.09/2,915.24
  6. Step 6: Final answer
    x = 1,451.17

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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.