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Finding the Fourth Proportional to 1,834.57, 2,531.76 and 995.31

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Solution

The fourth proportional to 1,834.57, 2,531.76 and 995.31 is: 1,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.57 : 2,531.76 = 995.31 : x
  2. Step 2: Convert to fraction form
    1,834.57/2,531.76 = 995.31/x
  3. Step 3: Cross multiply
    1,834.57x = 2,531.76 × 995.31
  4. Step 4: Simplify right side
    1,834.57x = 2,519,889.43
  5. Step 5: Solve for x
    x = 2,519,889.43/1,834.57
  6. Step 6: Final answer
    x = 1,373.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.