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Finding the Fourth Proportional to 1,958.99, 2,938.01 and 726.57

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Solution

The fourth proportional to 1,958.99, 2,938.01 and 726.57 is: 1,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.99 : 2,938.01 = 726.57 : x
  2. Step 2: Convert to fraction form
    1,958.99/2,938.01 = 726.57/x
  3. Step 3: Cross multiply
    1,958.99x = 2,938.01 × 726.57
  4. Step 4: Simplify right side
    1,958.99x = 2,134,666.29
  5. Step 5: Solve for x
    x = 2,134,666.29/1,958.99
  6. Step 6: Final answer
    x = 1,089.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.