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Finding the Fourth Proportional to 2,363.37, 3,545.29 and 903.75

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Solution

The fourth proportional to 2,363.37, 3,545.29 and 903.75 is: 1,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.37 : 3,545.29 = 903.75 : x
  2. Step 2: Convert to fraction form
    2,363.37/3,545.29 = 903.75/x
  3. Step 3: Cross multiply
    2,363.37x = 3,545.29 × 903.75
  4. Step 4: Simplify right side
    2,363.37x = 3,204,055.84
  5. Step 5: Solve for x
    x = 3,204,055.84/2,363.37
  6. Step 6: Final answer
    x = 1,355.71

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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.