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Finding the Fourth Proportional to 2,029.50, 2,801.03 and 1,244.03

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Solution

The fourth proportional to 2,029.50, 2,801.03 and 1,244.03 is: 1,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.50 : 2,801.03 = 1,244.03 : x
  2. Step 2: Convert to fraction form
    2,029.50/2,801.03 = 1,244.03/x
  3. Step 3: Cross multiply
    2,029.50x = 2,801.03 × 1,244.03
  4. Step 4: Simplify right side
    2,029.50x = 3,484,545.13
  5. Step 5: Solve for x
    x = 3,484,545.13/2,029.50
  6. Step 6: Final answer
    x = 1,716.95

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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.