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Finding the Fourth Proportional to 2,024.69, 3,037.78 and 854.99

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Solution

The fourth proportional to 2,024.69, 3,037.78 and 854.99 is: 1,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.69 : 3,037.78 = 854.99 : x
  2. Step 2: Convert to fraction form
    2,024.69/3,037.78 = 854.99/x
  3. Step 3: Cross multiply
    2,024.69x = 3,037.78 × 854.99
  4. Step 4: Simplify right side
    2,024.69x = 2,597,267.25
  5. Step 5: Solve for x
    x = 2,597,267.25/2,024.69
  6. Step 6: Final answer
    x = 1,282.80

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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.