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Finding the Fourth Proportional to 1,958.86, 2,709.24 and 1,926.06

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Solution

The fourth proportional to 1,958.86, 2,709.24 and 1,926.06 is: 2,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.86 : 2,709.24 = 1,926.06 : x
  2. Step 2: Convert to fraction form
    1,958.86/2,709.24 = 1,926.06/x
  3. Step 3: Cross multiply
    1,958.86x = 2,709.24 × 1,926.06
  4. Step 4: Simplify right side
    1,958.86x = 5,218,158.79
  5. Step 5: Solve for x
    x = 5,218,158.79/1,958.86
  6. Step 6: Final answer
    x = 2,663.88

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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.