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Finding the Fourth Proportional to 3,461.68, 5,194.12 and 1,731.44

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Solution

The fourth proportional to 3,461.68, 5,194.12 and 1,731.44 is: 2,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.68 : 5,194.12 = 1,731.44 : x
  2. Step 2: Convert to fraction form
    3,461.68/5,194.12 = 1,731.44/x
  3. Step 3: Cross multiply
    3,461.68x = 5,194.12 × 1,731.44
  4. Step 4: Simplify right side
    3,461.68x = 8,993,307.13
  5. Step 5: Solve for x
    x = 8,993,307.13/3,461.68
  6. Step 6: Final answer
    x = 2,597.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.