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Finding the Fourth Proportional to 2,921.68, 4,377.57 and 1,765

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Solution

The fourth proportional to 2,921.68, 4,377.57 and 1,765 is: 2,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.68 : 4,377.57 = 1,765 : x
  2. Step 2: Convert to fraction form
    2,921.68/4,377.57 = 1,765/x
  3. Step 3: Cross multiply
    2,921.68x = 4,377.57 × 1,765
  4. Step 4: Simplify right side
    2,921.68x = 7,726,411.05
  5. Step 5: Solve for x
    x = 7,726,411.05/2,921.68
  6. Step 6: Final answer
    x = 2,644.51

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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.