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Finding the Fourth Proportional to 2,284.00, 3,426.02 and 1,952.79

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Solution

The fourth proportional to 2,284.00, 3,426.02 and 1,952.79 is: 2,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.00 : 3,426.02 = 1,952.79 : x
  2. Step 2: Convert to fraction form
    2,284.00/3,426.02 = 1,952.79/x
  3. Step 3: Cross multiply
    2,284.00x = 3,426.02 × 1,952.79
  4. Step 4: Simplify right side
    2,284.00x = 6,690,287.83
  5. Step 5: Solve for x
    x = 6,690,287.83/2,284.00
  6. Step 6: Final answer
    x = 2,929.20

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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.