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Finding the Fourth Proportional to 3,422.64, 4,723.16 and 1,930.52

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Solution

The fourth proportional to 3,422.64, 4,723.16 and 1,930.52 is: 2,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.64 : 4,723.16 = 1,930.52 : x
  2. Step 2: Convert to fraction form
    3,422.64/4,723.16 = 1,930.52/x
  3. Step 3: Cross multiply
    3,422.64x = 4,723.16 × 1,930.52
  4. Step 4: Simplify right side
    3,422.64x = 9,118,154.84
  5. Step 5: Solve for x
    x = 9,118,154.84/3,422.64
  6. Step 6: Final answer
    x = 2,664.07

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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.