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Finding the Fourth Proportional to 2,407, 3,612.12 and 1,563.52

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Solution

The fourth proportional to 2,407, 3,612.12 and 1,563.52 is: 2,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 3,612.12 = 1,563.52 : x
  2. Step 2: Convert to fraction form
    2,407/3,612.12 = 1,563.52/x
  3. Step 3: Cross multiply
    2,407x = 3,612.12 × 1,563.52
  4. Step 4: Simplify right side
    2,407x = 5,647,621.86
  5. Step 5: Solve for x
    x = 5,647,621.86/2,407
  6. Step 6: Final answer
    x = 2,346.33

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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.