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Finding the Fourth Proportional to 3,100.10, 4,650.20 and 908.77

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Solution

The fourth proportional to 3,100.10, 4,650.20 and 908.77 is: 1,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.10 : 4,650.20 = 908.77 : x
  2. Step 2: Convert to fraction form
    3,100.10/4,650.20 = 908.77/x
  3. Step 3: Cross multiply
    3,100.10x = 4,650.20 × 908.77
  4. Step 4: Simplify right side
    3,100.10x = 4,225,962.25
  5. Step 5: Solve for x
    x = 4,225,962.25/3,100.10
  6. Step 6: Final answer
    x = 1,363.17

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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.