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Finding the Fourth Proportional to 2,965.71, 4,092.69 and 2,070.75

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Solution

The fourth proportional to 2,965.71, 4,092.69 and 2,070.75 is: 2,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.71 : 4,092.69 = 2,070.75 : x
  2. Step 2: Convert to fraction form
    2,965.71/4,092.69 = 2,070.75/x
  3. Step 3: Cross multiply
    2,965.71x = 4,092.69 × 2,070.75
  4. Step 4: Simplify right side
    2,965.71x = 8,474,937.82
  5. Step 5: Solve for x
    x = 8,474,937.82/2,965.71
  6. Step 6: Final answer
    x = 2,857.64

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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.