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Finding the Fourth Proportional to 2,863.90, 3,952.83 and 1,867.45

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Solution

The fourth proportional to 2,863.90, 3,952.83 and 1,867.45 is: 2,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.90 : 3,952.83 = 1,867.45 : x
  2. Step 2: Convert to fraction form
    2,863.90/3,952.83 = 1,867.45/x
  3. Step 3: Cross multiply
    2,863.90x = 3,952.83 × 1,867.45
  4. Step 4: Simplify right side
    2,863.90x = 7,381,712.38
  5. Step 5: Solve for x
    x = 7,381,712.38/2,863.90
  6. Step 6: Final answer
    x = 2,577.50

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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.