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Finding the Fourth Proportional to 3,016.16, 4,524.23 and 824.90

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Solution

The fourth proportional to 3,016.16, 4,524.23 and 824.90 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.16 : 4,524.23 = 824.90 : x
  2. Step 2: Convert to fraction form
    3,016.16/4,524.23 = 824.90/x
  3. Step 3: Cross multiply
    3,016.16x = 4,524.23 × 824.90
  4. Step 4: Simplify right side
    3,016.16x = 3,732,010.58
  5. Step 5: Solve for x
    x = 3,732,010.58/3,016.16
  6. Step 6: Final answer
    x = 1,237.34

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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.