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Finding the Fourth Proportional to 1,863.70, 2,570.37 and 1,265.21

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Solution

The fourth proportional to 1,863.70, 2,570.37 and 1,265.21 is: 1,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.70 : 2,570.37 = 1,265.21 : x
  2. Step 2: Convert to fraction form
    1,863.70/2,570.37 = 1,265.21/x
  3. Step 3: Cross multiply
    1,863.70x = 2,570.37 × 1,265.21
  4. Step 4: Simplify right side
    1,863.70x = 3,252,054.66
  5. Step 5: Solve for x
    x = 3,252,054.66/1,863.70
  6. Step 6: Final answer
    x = 1,744.95

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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.