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Finding the Fourth Proportional to 3,422.84, 4,723.50 and 1,930.77

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Solution

The fourth proportional to 3,422.84, 4,723.50 and 1,930.77 is: 2,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.84 : 4,723.50 = 1,930.77 : x
  2. Step 2: Convert to fraction form
    3,422.84/4,723.50 = 1,930.77/x
  3. Step 3: Cross multiply
    3,422.84x = 4,723.50 × 1,930.77
  4. Step 4: Simplify right side
    3,422.84x = 9,119,982.44
  5. Step 5: Solve for x
    x = 9,119,982.44/3,422.84
  6. Step 6: Final answer
    x = 2,664.45

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1.5x scale

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.