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Finding the Fourth Proportional to 2,768.99, 4,154.30 and 1,037.75

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Solution

The fourth proportional to 2,768.99, 4,154.30 and 1,037.75 is: 1,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.99 : 4,154.30 = 1,037.75 : x
  2. Step 2: Convert to fraction form
    2,768.99/4,154.30 = 1,037.75/x
  3. Step 3: Cross multiply
    2,768.99x = 4,154.30 × 1,037.75
  4. Step 4: Simplify right side
    2,768.99x = 4,311,124.83
  5. Step 5: Solve for x
    x = 4,311,124.83/2,768.99
  6. Step 6: Final answer
    x = 1,556.93

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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.