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Finding the Fourth Proportional to 1,853.94, 2,780.36 and 1,161.66

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Solution

The fourth proportional to 1,853.94, 2,780.36 and 1,161.66 is: 1,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.94 : 2,780.36 = 1,161.66 : x
  2. Step 2: Convert to fraction form
    1,853.94/2,780.36 = 1,161.66/x
  3. Step 3: Cross multiply
    1,853.94x = 2,780.36 × 1,161.66
  4. Step 4: Simplify right side
    1,853.94x = 3,229,833.00
  5. Step 5: Solve for x
    x = 3,229,833.00/1,853.94
  6. Step 6: Final answer
    x = 1,742.15

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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.