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Finding the Fourth Proportional to 1,863.93, 2,570.80 and 1,266.88

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Solution

The fourth proportional to 1,863.93, 2,570.80 and 1,266.88 is: 1,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.93 : 2,570.80 = 1,266.88 : x
  2. Step 2: Convert to fraction form
    1,863.93/2,570.80 = 1,266.88/x
  3. Step 3: Cross multiply
    1,863.93x = 2,570.80 × 1,266.88
  4. Step 4: Simplify right side
    1,863.93x = 3,256,895.10
  5. Step 5: Solve for x
    x = 3,256,895.10/1,863.93
  6. Step 6: Final answer
    x = 1,747.33

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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.