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Finding the Fourth Proportional to 2,785.70, 3,844.26 and 1,737.75

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Solution

The fourth proportional to 2,785.70, 3,844.26 and 1,737.75 is: 2,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.70 : 3,844.26 = 1,737.75 : x
  2. Step 2: Convert to fraction form
    2,785.70/3,844.26 = 1,737.75/x
  3. Step 3: Cross multiply
    2,785.70x = 3,844.26 × 1,737.75
  4. Step 4: Simplify right side
    2,785.70x = 6,680,362.82
  5. Step 5: Solve for x
    x = 6,680,362.82/2,785.70
  6. Step 6: Final answer
    x = 2,398.10

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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.