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Finding the Fourth Proportional to 3,000.97, 4,141.31 and 1,656.65

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Solution

The fourth proportional to 3,000.97, 4,141.31 and 1,656.65 is: 2,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.97 : 4,141.31 = 1,656.65 : x
  2. Step 2: Convert to fraction form
    3,000.97/4,141.31 = 1,656.65/x
  3. Step 3: Cross multiply
    3,000.97x = 4,141.31 × 1,656.65
  4. Step 4: Simplify right side
    3,000.97x = 6,860,712.60
  5. Step 5: Solve for x
    x = 6,860,712.60/3,000.97
  6. Step 6: Final answer
    x = 2,286.16

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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.