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Finding the Fourth Proportional to 1,886.85, 2,828.34 and 961.83

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Solution

The fourth proportional to 1,886.85, 2,828.34 and 961.83 is: 1,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.85 : 2,828.34 = 961.83 : x
  2. Step 2: Convert to fraction form
    1,886.85/2,828.34 = 961.83/x
  3. Step 3: Cross multiply
    1,886.85x = 2,828.34 × 961.83
  4. Step 4: Simplify right side
    1,886.85x = 2,720,382.26
  5. Step 5: Solve for x
    x = 2,720,382.26/1,886.85
  6. Step 6: Final answer
    x = 1,441.76

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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.