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Finding the Fourth Proportional to 3,013.59, 4,520.37 and 822.31

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Solution

The fourth proportional to 3,013.59, 4,520.37 and 822.31 is: 1,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.59 : 4,520.37 = 822.31 : x
  2. Step 2: Convert to fraction form
    3,013.59/4,520.37 = 822.31/x
  3. Step 3: Cross multiply
    3,013.59x = 4,520.37 × 822.31
  4. Step 4: Simplify right side
    3,013.59x = 3,717,145.45
  5. Step 5: Solve for x
    x = 3,717,145.45/3,013.59
  6. Step 6: Final answer
    x = 1,233.46

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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.