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Finding the Fourth Proportional to 3,052.29, 4,578.78 and 1,203.17

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Solution

The fourth proportional to 3,052.29, 4,578.78 and 1,203.17 is: 1,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.29 : 4,578.78 = 1,203.17 : x
  2. Step 2: Convert to fraction form
    3,052.29/4,578.78 = 1,203.17/x
  3. Step 3: Cross multiply
    3,052.29x = 4,578.78 × 1,203.17
  4. Step 4: Simplify right side
    3,052.29x = 5,509,027.84
  5. Step 5: Solve for x
    x = 5,509,027.84/3,052.29
  6. Step 6: Final answer
    x = 1,804.88

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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.