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Finding the Fourth Proportional to 2,138.32, 3,210.46 and 1,099.20

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Solution

The fourth proportional to 2,138.32, 3,210.46 and 1,099.20 is: 1,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.32 : 3,210.46 = 1,099.20 : x
  2. Step 2: Convert to fraction form
    2,138.32/3,210.46 = 1,099.20/x
  3. Step 3: Cross multiply
    2,138.32x = 3,210.46 × 1,099.20
  4. Step 4: Simplify right side
    2,138.32x = 3,528,948.41
  5. Step 5: Solve for x
    x = 3,528,948.41/2,138.32
  6. Step 6: Final answer
    x = 1,650.34

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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.