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Finding the Fourth Proportional to 2,802.61, 4,204.01 and 854.83

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Solution

The fourth proportional to 2,802.61, 4,204.01 and 854.83 is: 1,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.61 : 4,204.01 = 854.83 : x
  2. Step 2: Convert to fraction form
    2,802.61/4,204.01 = 854.83/x
  3. Step 3: Cross multiply
    2,802.61x = 4,204.01 × 854.83
  4. Step 4: Simplify right side
    2,802.61x = 3,593,713.87
  5. Step 5: Solve for x
    x = 3,593,713.87/2,802.61
  6. Step 6: Final answer
    x = 1,282.27

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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.