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Finding the Fourth Proportional to 3,016.19, 4,524.28 and 824.93

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Solution

The fourth proportional to 3,016.19, 4,524.28 and 824.93 is: 1,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.19 : 4,524.28 = 824.93 : x
  2. Step 2: Convert to fraction form
    3,016.19/4,524.28 = 824.93/x
  3. Step 3: Cross multiply
    3,016.19x = 4,524.28 × 824.93
  4. Step 4: Simplify right side
    3,016.19x = 3,732,214.30
  5. Step 5: Solve for x
    x = 3,732,214.30/3,016.19
  6. Step 6: Final answer
    x = 1,237.40

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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.