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Finding the Fourth Proportional to 3,037.94, 4,556.58 and 816.98

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Solution

The fourth proportional to 3,037.94, 4,556.58 and 816.98 is: 1,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.94 : 4,556.58 = 816.98 : x
  2. Step 2: Convert to fraction form
    3,037.94/4,556.58 = 816.98/x
  3. Step 3: Cross multiply
    3,037.94x = 4,556.58 × 816.98
  4. Step 4: Simplify right side
    3,037.94x = 3,722,634.73
  5. Step 5: Solve for x
    x = 3,722,634.73/3,037.94
  6. Step 6: Final answer
    x = 1,225.38

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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.