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Finding the Fourth Proportional to 3,214.19, 4,821.28 and 905.69

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Solution

The fourth proportional to 3,214.19, 4,821.28 and 905.69 is: 1,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.19 : 4,821.28 = 905.69 : x
  2. Step 2: Convert to fraction form
    3,214.19/4,821.28 = 905.69/x
  3. Step 3: Cross multiply
    3,214.19x = 4,821.28 × 905.69
  4. Step 4: Simplify right side
    3,214.19x = 4,366,585.08
  5. Step 5: Solve for x
    x = 4,366,585.08/3,214.19
  6. Step 6: Final answer
    x = 1,358.53

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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.