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Finding the Fourth Proportional to 1,863.90, 2,569.91 and 1,366.34

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Solution

The fourth proportional to 1,863.90, 2,569.91 and 1,366.34 is: 1,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.90 : 2,569.91 = 1,366.34 : x
  2. Step 2: Convert to fraction form
    1,863.90/2,569.91 = 1,366.34/x
  3. Step 3: Cross multiply
    1,863.90x = 2,569.91 × 1,366.34
  4. Step 4: Simplify right side
    1,863.90x = 3,511,351.15
  5. Step 5: Solve for x
    x = 3,511,351.15/1,863.90
  6. Step 6: Final answer
    x = 1,883.87

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