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Finding the Fourth Proportional to 2,545.97, 3,819.11 and 697.01

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Solution

The fourth proportional to 2,545.97, 3,819.11 and 697.01 is: 1,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.97 : 3,819.11 = 697.01 : x
  2. Step 2: Convert to fraction form
    2,545.97/3,819.11 = 697.01/x
  3. Step 3: Cross multiply
    2,545.97x = 3,819.11 × 697.01
  4. Step 4: Simplify right side
    2,545.97x = 2,661,935.28
  5. Step 5: Solve for x
    x = 2,661,935.28/2,545.97
  6. Step 6: Final answer
    x = 1,045.55

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1.5x scale

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.