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Finding the Fourth Proportional to 3,068.47, 4,602.23 and 1,682.49

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Solution

The fourth proportional to 3,068.47, 4,602.23 and 1,682.49 is: 2,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.47 : 4,602.23 = 1,682.49 : x
  2. Step 2: Convert to fraction form
    3,068.47/4,602.23 = 1,682.49/x
  3. Step 3: Cross multiply
    3,068.47x = 4,602.23 × 1,682.49
  4. Step 4: Simplify right side
    3,068.47x = 7,743,205.95
  5. Step 5: Solve for x
    x = 7,743,205.95/3,068.47
  6. Step 6: Final answer
    x = 2,523.47

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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.