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Finding the Fourth Proportional to 1,863.69, 2,792.31 and 1,131.74

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Solution

The fourth proportional to 1,863.69, 2,792.31 and 1,131.74 is: 1,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.69 : 2,792.31 = 1,131.74 : x
  2. Step 2: Convert to fraction form
    1,863.69/2,792.31 = 1,131.74/x
  3. Step 3: Cross multiply
    1,863.69x = 2,792.31 × 1,131.74
  4. Step 4: Simplify right side
    1,863.69x = 3,160,154.96
  5. Step 5: Solve for x
    x = 3,160,154.96/1,863.69
  6. Step 6: Final answer
    x = 1,695.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.