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Finding the Fourth Proportional to 3,037.69, 4,192.02 and 1,711.41

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Solution

The fourth proportional to 3,037.69, 4,192.02 and 1,711.41 is: 2,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.69 : 4,192.02 = 1,711.41 : x
  2. Step 2: Convert to fraction form
    3,037.69/4,192.02 = 1,711.41/x
  3. Step 3: Cross multiply
    3,037.69x = 4,192.02 × 1,711.41
  4. Step 4: Simplify right side
    3,037.69x = 7,174,264.95
  5. Step 5: Solve for x
    x = 7,174,264.95/3,037.69
  6. Step 6: Final answer
    x = 2,361.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.