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Finding the Fourth Proportional to 2,340.32, 3,508.32 and 1,607.68

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Solution

The fourth proportional to 2,340.32, 3,508.32 and 1,607.68 is: 2,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.32 : 3,508.32 = 1,607.68 : x
  2. Step 2: Convert to fraction form
    2,340.32/3,508.32 = 1,607.68/x
  3. Step 3: Cross multiply
    2,340.32x = 3,508.32 × 1,607.68
  4. Step 4: Simplify right side
    2,340.32x = 5,640,255.90
  5. Step 5: Solve for x
    x = 5,640,255.90/2,340.32
  6. Step 6: Final answer
    x = 2,410.04

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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.