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Finding the Fourth Proportional to 2,362.57, 3,545.47 and 901.73

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Solution

The fourth proportional to 2,362.57, 3,545.47 and 901.73 is: 1,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.57 : 3,545.47 = 901.73 : x
  2. Step 2: Convert to fraction form
    2,362.57/3,545.47 = 901.73/x
  3. Step 3: Cross multiply
    2,362.57x = 3,545.47 × 901.73
  4. Step 4: Simplify right side
    2,362.57x = 3,197,066.65
  5. Step 5: Solve for x
    x = 3,197,066.65/2,362.57
  6. Step 6: Final answer
    x = 1,353.22

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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.