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Finding the Fourth Proportional to 3,218.49, 4,441.49 and 1,802.17

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Solution

The fourth proportional to 3,218.49, 4,441.49 and 1,802.17 is: 2,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.49 : 4,441.49 = 1,802.17 : x
  2. Step 2: Convert to fraction form
    3,218.49/4,441.49 = 1,802.17/x
  3. Step 3: Cross multiply
    3,218.49x = 4,441.49 × 1,802.17
  4. Step 4: Simplify right side
    3,218.49x = 8,004,323.33
  5. Step 5: Solve for x
    x = 8,004,323.33/3,218.49
  6. Step 6: Final answer
    x = 2,486.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.