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Finding the Fourth Proportional to 2,286.83, 3,407.32 and 2,041.25

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Solution

The fourth proportional to 2,286.83, 3,407.32 and 2,041.25 is: 3,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.83 : 3,407.32 = 2,041.25 : x
  2. Step 2: Convert to fraction form
    2,286.83/3,407.32 = 2,041.25/x
  3. Step 3: Cross multiply
    2,286.83x = 3,407.32 × 2,041.25
  4. Step 4: Simplify right side
    2,286.83x = 6,955,185.15
  5. Step 5: Solve for x
    x = 6,955,185.15/2,286.83
  6. Step 6: Final answer
    x = 3,041.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.