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Finding the Fourth Proportional to 3,149.22, 4,724.49 and 1,069.11

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Solution

The fourth proportional to 3,149.22, 4,724.49 and 1,069.11 is: 1,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.22 : 4,724.49 = 1,069.11 : x
  2. Step 2: Convert to fraction form
    3,149.22/4,724.49 = 1,069.11/x
  3. Step 3: Cross multiply
    3,149.22x = 4,724.49 × 1,069.11
  4. Step 4: Simplify right side
    3,149.22x = 5,050,999.50
  5. Step 5: Solve for x
    x = 5,050,999.50/3,149.22
  6. Step 6: Final answer
    x = 1,603.89

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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.