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Finding the Fourth Proportional to 2,867.44, 4,302 and 1,202.36

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Solution

The fourth proportional to 2,867.44, 4,302 and 1,202.36 is: 1,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.44 : 4,302 = 1,202.36 : x
  2. Step 2: Convert to fraction form
    2,867.44/4,302 = 1,202.36/x
  3. Step 3: Cross multiply
    2,867.44x = 4,302 × 1,202.36
  4. Step 4: Simplify right side
    2,867.44x = 5,172,552.72
  5. Step 5: Solve for x
    x = 5,172,552.72/2,867.44
  6. Step 6: Final answer
    x = 1,803.89

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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.