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Finding the Fourth Proportional to 2,107.98, 3,153.69 and 1,861.74

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Solution

The fourth proportional to 2,107.98, 3,153.69 and 1,861.74 is: 2,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.98 : 3,153.69 = 1,861.74 : x
  2. Step 2: Convert to fraction form
    2,107.98/3,153.69 = 1,861.74/x
  3. Step 3: Cross multiply
    2,107.98x = 3,153.69 × 1,861.74
  4. Step 4: Simplify right side
    2,107.98x = 5,871,350.82
  5. Step 5: Solve for x
    x = 5,871,350.82/2,107.98
  6. Step 6: Final answer
    x = 2,785.30

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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.