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Finding the Fourth Proportional to 2,311.96, 3,467.95 and 925.41

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Solution

The fourth proportional to 2,311.96, 3,467.95 and 925.41 is: 1,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.96 : 3,467.95 = 925.41 : x
  2. Step 2: Convert to fraction form
    2,311.96/3,467.95 = 925.41/x
  3. Step 3: Cross multiply
    2,311.96x = 3,467.95 × 925.41
  4. Step 4: Simplify right side
    2,311.96x = 3,209,275.61
  5. Step 5: Solve for x
    x = 3,209,275.61/2,311.96
  6. Step 6: Final answer
    x = 1,388.12

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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.