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Finding the Fourth Proportional to 2,785.33, 3,847.13 and 2,203.57

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Solution

The fourth proportional to 2,785.33, 3,847.13 and 2,203.57 is: 3,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.33 : 3,847.13 = 2,203.57 : x
  2. Step 2: Convert to fraction form
    2,785.33/3,847.13 = 2,203.57/x
  3. Step 3: Cross multiply
    2,785.33x = 3,847.13 × 2,203.57
  4. Step 4: Simplify right side
    2,785.33x = 8,477,420.25
  5. Step 5: Solve for x
    x = 8,477,420.25/2,785.33
  6. Step 6: Final answer
    x = 3,043.60

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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.