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Finding the Fourth Proportional to 2,154.60, 3,231.99 and 1,287

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Solution

The fourth proportional to 2,154.60, 3,231.99 and 1,287 is: 1,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.60 : 3,231.99 = 1,287 : x
  2. Step 2: Convert to fraction form
    2,154.60/3,231.99 = 1,287/x
  3. Step 3: Cross multiply
    2,154.60x = 3,231.99 × 1,287
  4. Step 4: Simplify right side
    2,154.60x = 4,159,571.13
  5. Step 5: Solve for x
    x = 4,159,571.13/2,154.60
  6. Step 6: Final answer
    x = 1,930.55

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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.