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Finding the Fourth Proportional to 3,013.90, 4,521.06 and 822.64

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Solution

The fourth proportional to 3,013.90, 4,521.06 and 822.64 is: 1,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.90 : 4,521.06 = 822.64 : x
  2. Step 2: Convert to fraction form
    3,013.90/4,521.06 = 822.64/x
  3. Step 3: Cross multiply
    3,013.90x = 4,521.06 × 822.64
  4. Step 4: Simplify right side
    3,013.90x = 3,719,204.80
  5. Step 5: Solve for x
    x = 3,719,204.80/3,013.90
  6. Step 6: Final answer
    x = 1,234.02

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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.