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Finding the Fourth Proportional to 1,291.55, 1,933.52 and 851.99

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Solution

The fourth proportional to 1,291.55, 1,933.52 and 851.99 is: 1,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.55 : 1,933.52 = 851.99 : x
  2. Step 2: Convert to fraction form
    1,291.55/1,933.52 = 851.99/x
  3. Step 3: Cross multiply
    1,291.55x = 1,933.52 × 851.99
  4. Step 4: Simplify right side
    1,291.55x = 1,647,340.28
  5. Step 5: Solve for x
    x = 1,647,340.28/1,291.55
  6. Step 6: Final answer
    x = 1,275.47

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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.