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Finding the Fourth Proportional to 2,958.71, 4,082.95 and 1,614.25

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Solution

The fourth proportional to 2,958.71, 4,082.95 and 1,614.25 is: 2,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.71 : 4,082.95 = 1,614.25 : x
  2. Step 2: Convert to fraction form
    2,958.71/4,082.95 = 1,614.25/x
  3. Step 3: Cross multiply
    2,958.71x = 4,082.95 × 1,614.25
  4. Step 4: Simplify right side
    2,958.71x = 6,590,909.16
  5. Step 5: Solve for x
    x = 6,590,909.16/2,958.71
  6. Step 6: Final answer
    x = 2,227.63

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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.