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Finding the Fourth Proportional to 3,084.94, 4,257.48 and 1,758.28

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Solution

The fourth proportional to 3,084.94, 4,257.48 and 1,758.28 is: 2,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.94 : 4,257.48 = 1,758.28 : x
  2. Step 2: Convert to fraction form
    3,084.94/4,257.48 = 1,758.28/x
  3. Step 3: Cross multiply
    3,084.94x = 4,257.48 × 1,758.28
  4. Step 4: Simplify right side
    3,084.94x = 7,485,841.93
  5. Step 5: Solve for x
    x = 7,485,841.93/3,084.94
  6. Step 6: Final answer
    x = 2,426.58

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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.