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Finding the Fourth Proportional to 3,016.40, 4,524.12 and 824.63

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Solution

The fourth proportional to 3,016.40, 4,524.12 and 824.63 is: 1,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.40 : 4,524.12 = 824.63 : x
  2. Step 2: Convert to fraction form
    3,016.40/4,524.12 = 824.63/x
  3. Step 3: Cross multiply
    3,016.40x = 4,524.12 × 824.63
  4. Step 4: Simplify right side
    3,016.40x = 3,730,702.46
  5. Step 5: Solve for x
    x = 3,730,702.46/3,016.40
  6. Step 6: Final answer
    x = 1,236.81

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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.