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Finding the Fourth Proportional to 2,743.84, 3,785.88 and 1,903.24

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Solution

The fourth proportional to 2,743.84, 3,785.88 and 1,903.24 is: 2,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.84 : 3,785.88 = 1,903.24 : x
  2. Step 2: Convert to fraction form
    2,743.84/3,785.88 = 1,903.24/x
  3. Step 3: Cross multiply
    2,743.84x = 3,785.88 × 1,903.24
  4. Step 4: Simplify right side
    2,743.84x = 7,205,438.25
  5. Step 5: Solve for x
    x = 7,205,438.25/2,743.84
  6. Step 6: Final answer
    x = 2,626.04

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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.