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Finding the Fourth Proportional to 1,965.94, 2,948.37 and 579.22

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Solution

The fourth proportional to 1,965.94, 2,948.37 and 579.22 is: 868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.94 : 2,948.37 = 579.22 : x
  2. Step 2: Convert to fraction form
    1,965.94/2,948.37 = 579.22/x
  3. Step 3: Cross multiply
    1,965.94x = 2,948.37 × 579.22
  4. Step 4: Simplify right side
    1,965.94x = 1,707,754.87
  5. Step 5: Solve for x
    x = 1,707,754.87/1,965.94
  6. Step 6: Final answer
    x = 868.67

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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.