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Finding the Fourth Proportional to 3,214.02, 4,820.49 and 905.58

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Solution

The fourth proportional to 3,214.02, 4,820.49 and 905.58 is: 1,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.02 : 4,820.49 = 905.58 : x
  2. Step 2: Convert to fraction form
    3,214.02/4,820.49 = 905.58/x
  3. Step 3: Cross multiply
    3,214.02x = 4,820.49 × 905.58
  4. Step 4: Simplify right side
    3,214.02x = 4,365,339.33
  5. Step 5: Solve for x
    x = 4,365,339.33/3,214.02
  6. Step 6: Final answer
    x = 1,358.22

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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.