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Finding the Fourth Proportional to 2,929.62, 4,388.62 and 1,540.86

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Solution

The fourth proportional to 2,929.62, 4,388.62 and 1,540.86 is: 2,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.62 : 4,388.62 = 1,540.86 : x
  2. Step 2: Convert to fraction form
    2,929.62/4,388.62 = 1,540.86/x
  3. Step 3: Cross multiply
    2,929.62x = 4,388.62 × 1,540.86
  4. Step 4: Simplify right side
    2,929.62x = 6,762,249.01
  5. Step 5: Solve for x
    x = 6,762,249.01/2,929.62
  6. Step 6: Final answer
    x = 2,308.23

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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.