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Finding the Fourth Proportional to 2,229.32, 3,343.51 and 1,406.50

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Solution

The fourth proportional to 2,229.32, 3,343.51 and 1,406.50 is: 2,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.32 : 3,343.51 = 1,406.50 : x
  2. Step 2: Convert to fraction form
    2,229.32/3,343.51 = 1,406.50/x
  3. Step 3: Cross multiply
    2,229.32x = 3,343.51 × 1,406.50
  4. Step 4: Simplify right side
    2,229.32x = 4,702,640.21
  5. Step 5: Solve for x
    x = 4,702,640.21/2,229.32
  6. Step 6: Final answer
    x = 2,109.45

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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.