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Finding the Fourth Proportional to 2,863.54, 4,284.88 and 1,694.07

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Solution

The fourth proportional to 2,863.54, 4,284.88 and 1,694.07 is: 2,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.54 : 4,284.88 = 1,694.07 : x
  2. Step 2: Convert to fraction form
    2,863.54/4,284.88 = 1,694.07/x
  3. Step 3: Cross multiply
    2,863.54x = 4,284.88 × 1,694.07
  4. Step 4: Simplify right side
    2,863.54x = 7,258,886.66
  5. Step 5: Solve for x
    x = 7,258,886.66/2,863.54
  6. Step 6: Final answer
    x = 2,534.93

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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.