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Finding the Fourth Proportional to 2,802.67, 4,203.99 and 854.84

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Solution

The fourth proportional to 2,802.67, 4,203.99 and 854.84 is: 1,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.67 : 4,203.99 = 854.84 : x
  2. Step 2: Convert to fraction form
    2,802.67/4,203.99 = 854.84/x
  3. Step 3: Cross multiply
    2,802.67x = 4,203.99 × 854.84
  4. Step 4: Simplify right side
    2,802.67x = 3,593,738.81
  5. Step 5: Solve for x
    x = 3,593,738.81/2,802.67
  6. Step 6: Final answer
    x = 1,282.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.