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Finding the Fourth Proportional to 2,024.24, 3,036.38 and 854.27

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Solution

The fourth proportional to 2,024.24, 3,036.38 and 854.27 is: 1,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.24 : 3,036.38 = 854.27 : x
  2. Step 2: Convert to fraction form
    2,024.24/3,036.38 = 854.27/x
  3. Step 3: Cross multiply
    2,024.24x = 3,036.38 × 854.27
  4. Step 4: Simplify right side
    2,024.24x = 2,593,868.89
  5. Step 5: Solve for x
    x = 2,593,868.89/2,024.24
  6. Step 6: Final answer
    x = 1,281.40

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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.