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Finding the Fourth Proportional to 1,863.41, 2,570.96 and 1,155.78

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Solution

The fourth proportional to 1,863.41, 2,570.96 and 1,155.78 is: 1,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.41 : 2,570.96 = 1,155.78 : x
  2. Step 2: Convert to fraction form
    1,863.41/2,570.96 = 1,155.78/x
  3. Step 3: Cross multiply
    1,863.41x = 2,570.96 × 1,155.78
  4. Step 4: Simplify right side
    1,863.41x = 2,971,464.15
  5. Step 5: Solve for x
    x = 2,971,464.15/1,863.41
  6. Step 6: Final answer
    x = 1,594.64

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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.