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Finding the Fourth Proportional to 3,214.53, 4,822.81 and 1,134.45

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Solution

The fourth proportional to 3,214.53, 4,822.81 and 1,134.45 is: 1,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.53 : 4,822.81 = 1,134.45 : x
  2. Step 2: Convert to fraction form
    3,214.53/4,822.81 = 1,134.45/x
  3. Step 3: Cross multiply
    3,214.53x = 4,822.81 × 1,134.45
  4. Step 4: Simplify right side
    3,214.53x = 5,471,233.97
  5. Step 5: Solve for x
    x = 5,471,233.97/3,214.53
  6. Step 6: Final answer
    x = 1,702.03

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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.