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Finding the Fourth Proportional to 3,069.66, 4,235.82 and 1,743.42

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Solution

The fourth proportional to 3,069.66, 4,235.82 and 1,743.42 is: 2,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.66 : 4,235.82 = 1,743.42 : x
  2. Step 2: Convert to fraction form
    3,069.66/4,235.82 = 1,743.42/x
  3. Step 3: Cross multiply
    3,069.66x = 4,235.82 × 1,743.42
  4. Step 4: Simplify right side
    3,069.66x = 7,384,813.30
  5. Step 5: Solve for x
    x = 7,384,813.30/3,069.66
  6. Step 6: Final answer
    x = 2,405.74

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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.