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Finding the Fourth Proportional to 2,102.94, 3,155.00 and 1,873.42

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Solution

The fourth proportional to 2,102.94, 3,155.00 and 1,873.42 is: 2,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.94 : 3,155.00 = 1,873.42 : x
  2. Step 2: Convert to fraction form
    2,102.94/3,155.00 = 1,873.42/x
  3. Step 3: Cross multiply
    2,102.94x = 3,155.00 × 1,873.42
  4. Step 4: Simplify right side
    2,102.94x = 5,910,622.85
  5. Step 5: Solve for x
    x = 5,910,622.85/2,102.94
  6. Step 6: Final answer
    x = 2,810.65

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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.