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Finding the Fourth Proportional to 3,422.16, 4,722.76 and 1,950.16

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Solution

The fourth proportional to 3,422.16, 4,722.76 and 1,950.16 is: 2,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.16 : 4,722.76 = 1,950.16 : x
  2. Step 2: Convert to fraction form
    3,422.16/4,722.76 = 1,950.16/x
  3. Step 3: Cross multiply
    3,422.16x = 4,722.76 × 1,950.16
  4. Step 4: Simplify right side
    3,422.16x = 9,210,137.64
  5. Step 5: Solve for x
    x = 9,210,137.64/3,422.16
  6. Step 6: Final answer
    x = 2,691.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.