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Finding the Fourth Proportional to 3,037.76, 4,191.95 and 1,711.54

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Solution

The fourth proportional to 3,037.76, 4,191.95 and 1,711.54 is: 2,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.76 : 4,191.95 = 1,711.54 : x
  2. Step 2: Convert to fraction form
    3,037.76/4,191.95 = 1,711.54/x
  3. Step 3: Cross multiply
    3,037.76x = 4,191.95 × 1,711.54
  4. Step 4: Simplify right side
    3,037.76x = 7,174,690.10
  5. Step 5: Solve for x
    x = 7,174,690.10/3,037.76
  6. Step 6: Final answer
    x = 2,361.84

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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.