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Finding the Fourth Proportional to 1,891.66, 2,834.60 and 795.42

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Solution

The fourth proportional to 1,891.66, 2,834.60 and 795.42 is: 1,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.66 : 2,834.60 = 795.42 : x
  2. Step 2: Convert to fraction form
    1,891.66/2,834.60 = 795.42/x
  3. Step 3: Cross multiply
    1,891.66x = 2,834.60 × 795.42
  4. Step 4: Simplify right side
    1,891.66x = 2,254,697.53
  5. Step 5: Solve for x
    x = 2,254,697.53/1,891.66
  6. Step 6: Final answer
    x = 1,191.91

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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.