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Finding the Fourth Proportional to 1,834.41, 2,531.45 and 995.09

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Solution

The fourth proportional to 1,834.41, 2,531.45 and 995.09 is: 1,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.41 : 2,531.45 = 995.09 : x
  2. Step 2: Convert to fraction form
    1,834.41/2,531.45 = 995.09/x
  3. Step 3: Cross multiply
    1,834.41x = 2,531.45 × 995.09
  4. Step 4: Simplify right side
    1,834.41x = 2,519,010.41
  5. Step 5: Solve for x
    x = 2,519,010.41/1,834.41
  6. Step 6: Final answer
    x = 1,373.20

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1.5x scale

Why These Related Problems?

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