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Finding the Fourth Proportional to 2,866.87, 3,954.61 and 1,802.95

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Solution

The fourth proportional to 2,866.87, 3,954.61 and 1,802.95 is: 2,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.87 : 3,954.61 = 1,802.95 : x
  2. Step 2: Convert to fraction form
    2,866.87/3,954.61 = 1,802.95/x
  3. Step 3: Cross multiply
    2,866.87x = 3,954.61 × 1,802.95
  4. Step 4: Simplify right side
    2,866.87x = 7,129,949.71
  5. Step 5: Solve for x
    x = 7,129,949.71/2,866.87
  6. Step 6: Final answer
    x = 2,487.02

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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.