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Finding the Fourth Proportional to 2,974.48, 4,103.84 and 1,732.24

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Solution

The fourth proportional to 2,974.48, 4,103.84 and 1,732.24 is: 2,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.48 : 4,103.84 = 1,732.24 : x
  2. Step 2: Convert to fraction form
    2,974.48/4,103.84 = 1,732.24/x
  3. Step 3: Cross multiply
    2,974.48x = 4,103.84 × 1,732.24
  4. Step 4: Simplify right side
    2,974.48x = 7,108,835.80
  5. Step 5: Solve for x
    x = 7,108,835.80/2,974.48
  6. Step 6: Final answer
    x = 2,389.94

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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.