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Finding the Fourth Proportional to 2,024.72, 3,035.76 and 855.52

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Solution

The fourth proportional to 2,024.72, 3,035.76 and 855.52 is: 1,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.72 : 3,035.76 = 855.52 : x
  2. Step 2: Convert to fraction form
    2,024.72/3,035.76 = 855.52/x
  3. Step 3: Cross multiply
    2,024.72x = 3,035.76 × 855.52
  4. Step 4: Simplify right side
    2,024.72x = 2,597,153.40
  5. Step 5: Solve for x
    x = 2,597,153.40/2,024.72
  6. Step 6: Final answer
    x = 1,282.72

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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.