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Finding the Fourth Proportional to 3,046.69, 4,204.13 and 1,770.22

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Solution

The fourth proportional to 3,046.69, 4,204.13 and 1,770.22 is: 2,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.69 : 4,204.13 = 1,770.22 : x
  2. Step 2: Convert to fraction form
    3,046.69/4,204.13 = 1,770.22/x
  3. Step 3: Cross multiply
    3,046.69x = 4,204.13 × 1,770.22
  4. Step 4: Simplify right side
    3,046.69x = 7,442,235.01
  5. Step 5: Solve for x
    x = 7,442,235.01/3,046.69
  6. Step 6: Final answer
    x = 2,442.73

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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.