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Finding the Fourth Proportional to 3,100.14, 4,650.55 and 909.23

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Solution

The fourth proportional to 3,100.14, 4,650.55 and 909.23 is: 1,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.14 : 4,650.55 = 909.23 : x
  2. Step 2: Convert to fraction form
    3,100.14/4,650.55 = 909.23/x
  3. Step 3: Cross multiply
    3,100.14x = 4,650.55 × 909.23
  4. Step 4: Simplify right side
    3,100.14x = 4,228,394.05
  5. Step 5: Solve for x
    x = 4,228,394.05/3,100.14
  6. Step 6: Final answer
    x = 1,363.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.