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Finding the Fourth Proportional to 3,068.82, 4,235 and 1,671.58

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Solution

The fourth proportional to 3,068.82, 4,235 and 1,671.58 is: 2,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.82 : 4,235 = 1,671.58 : x
  2. Step 2: Convert to fraction form
    3,068.82/4,235 = 1,671.58/x
  3. Step 3: Cross multiply
    3,068.82x = 4,235 × 1,671.58
  4. Step 4: Simplify right side
    3,068.82x = 7,079,141.30
  5. Step 5: Solve for x
    x = 7,079,141.30/3,068.82
  6. Step 6: Final answer
    x = 2,306.80

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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.