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Finding the Fourth Proportional to 2,858.12, 4,287.27 and 983.99

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Solution

The fourth proportional to 2,858.12, 4,287.27 and 983.99 is: 1,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.12 : 4,287.27 = 983.99 : x
  2. Step 2: Convert to fraction form
    2,858.12/4,287.27 = 983.99/x
  3. Step 3: Cross multiply
    2,858.12x = 4,287.27 × 983.99
  4. Step 4: Simplify right side
    2,858.12x = 4,218,645.22
  5. Step 5: Solve for x
    x = 4,218,645.22/2,858.12
  6. Step 6: Final answer
    x = 1,476.02

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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.