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Finding the Fourth Proportional to 3,422.58, 4,723.14 and 1,850.67

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Solution

The fourth proportional to 3,422.58, 4,723.14 and 1,850.67 is: 2,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.58 : 4,723.14 = 1,850.67 : x
  2. Step 2: Convert to fraction form
    3,422.58/4,723.14 = 1,850.67/x
  3. Step 3: Cross multiply
    3,422.58x = 4,723.14 × 1,850.67
  4. Step 4: Simplify right side
    3,422.58x = 8,740,978.11
  5. Step 5: Solve for x
    x = 8,740,978.11/3,422.58
  6. Step 6: Final answer
    x = 2,553.92

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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.