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Finding the Fourth Proportional to 1,917.86, 2,876.68 and 531.23

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Solution

The fourth proportional to 1,917.86, 2,876.68 and 531.23 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.86 : 2,876.68 = 531.23 : x
  2. Step 2: Convert to fraction form
    1,917.86/2,876.68 = 531.23/x
  3. Step 3: Cross multiply
    1,917.86x = 2,876.68 × 531.23
  4. Step 4: Simplify right side
    1,917.86x = 1,528,184.58
  5. Step 5: Solve for x
    x = 1,528,184.58/1,917.86
  6. Step 6: Final answer
    x = 796.82

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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.