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Finding the Fourth Proportional to 1,974.57, 2,959.29 and 803.21

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Solution

The fourth proportional to 1,974.57, 2,959.29 and 803.21 is: 1,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.57 : 2,959.29 = 803.21 : x
  2. Step 2: Convert to fraction form
    1,974.57/2,959.29 = 803.21/x
  3. Step 3: Cross multiply
    1,974.57x = 2,959.29 × 803.21
  4. Step 4: Simplify right side
    1,974.57x = 2,376,919.91
  5. Step 5: Solve for x
    x = 2,376,919.91/1,974.57
  6. Step 6: Final answer
    x = 1,203.77

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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.