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Finding the Fourth Proportional to 3,214.92, 4,821.66 and 906.60

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Solution

The fourth proportional to 3,214.92, 4,821.66 and 906.60 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.92 : 4,821.66 = 906.60 : x
  2. Step 2: Convert to fraction form
    3,214.92/4,821.66 = 906.60/x
  3. Step 3: Cross multiply
    3,214.92x = 4,821.66 × 906.60
  4. Step 4: Simplify right side
    3,214.92x = 4,371,316.96
  5. Step 5: Solve for x
    x = 4,371,316.96/3,214.92
  6. Step 6: Final answer
    x = 1,359.70

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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.