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Finding the Fourth Proportional to 2,836.98, 4,254.59 and 862.00

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Solution

The fourth proportional to 2,836.98, 4,254.59 and 862.00 is: 1,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.98 : 4,254.59 = 862.00 : x
  2. Step 2: Convert to fraction form
    2,836.98/4,254.59 = 862.00/x
  3. Step 3: Cross multiply
    2,836.98x = 4,254.59 × 862.00
  4. Step 4: Simplify right side
    2,836.98x = 3,667,448.10
  5. Step 5: Solve for x
    x = 3,667,448.10/2,836.98
  6. Step 6: Final answer
    x = 1,292.73

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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.