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Finding the Fourth Proportional to 2,915.68, 4,373.92 and 967.84

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Solution

The fourth proportional to 2,915.68, 4,373.92 and 967.84 is: 1,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.68 : 4,373.92 = 967.84 : x
  2. Step 2: Convert to fraction form
    2,915.68/4,373.92 = 967.84/x
  3. Step 3: Cross multiply
    2,915.68x = 4,373.92 × 967.84
  4. Step 4: Simplify right side
    2,915.68x = 4,233,254.73
  5. Step 5: Solve for x
    x = 4,233,254.73/2,915.68
  6. Step 6: Final answer
    x = 1,451.89

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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.