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Finding the Fourth Proportional to 2,274.30, 3,406.95 and 2,003.70

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Solution

The fourth proportional to 2,274.30, 3,406.95 and 2,003.70 is: 3,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.30 : 3,406.95 = 2,003.70 : x
  2. Step 2: Convert to fraction form
    2,274.30/3,406.95 = 2,003.70/x
  3. Step 3: Cross multiply
    2,274.30x = 3,406.95 × 2,003.70
  4. Step 4: Simplify right side
    2,274.30x = 6,826,505.72
  5. Step 5: Solve for x
    x = 6,826,505.72/2,274.30
  6. Step 6: Final answer
    x = 3,001.59

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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.