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Finding the Fourth Proportional to 3,100.94, 4,650.49 and 909.15

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Solution

The fourth proportional to 3,100.94, 4,650.49 and 909.15 is: 1,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.94 : 4,650.49 = 909.15 : x
  2. Step 2: Convert to fraction form
    3,100.94/4,650.49 = 909.15/x
  3. Step 3: Cross multiply
    3,100.94x = 4,650.49 × 909.15
  4. Step 4: Simplify right side
    3,100.94x = 4,227,992.98
  5. Step 5: Solve for x
    x = 4,227,992.98/3,100.94
  6. Step 6: Final answer
    x = 1,363.46

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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.