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Finding the Fourth Proportional to 2,802.71, 4,204.14 and 854.91

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Solution

The fourth proportional to 2,802.71, 4,204.14 and 854.91 is: 1,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.71 : 4,204.14 = 854.91 : x
  2. Step 2: Convert to fraction form
    2,802.71/4,204.14 = 854.91/x
  3. Step 3: Cross multiply
    2,802.71x = 4,204.14 × 854.91
  4. Step 4: Simplify right side
    2,802.71x = 3,594,142.36
  5. Step 5: Solve for x
    x = 3,594,142.36/2,802.71
  6. Step 6: Final answer
    x = 1,282.38

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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.