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Finding the Fourth Proportional to 2,363.12, 3,545.37 and 902.39

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Solution

The fourth proportional to 2,363.12, 3,545.37 and 902.39 is: 1,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.12 : 3,545.37 = 902.39 : x
  2. Step 2: Convert to fraction form
    2,363.12/3,545.37 = 902.39/x
  3. Step 3: Cross multiply
    2,363.12x = 3,545.37 × 902.39
  4. Step 4: Simplify right side
    2,363.12x = 3,199,308.65
  5. Step 5: Solve for x
    x = 3,199,308.65/2,363.12
  6. Step 6: Final answer
    x = 1,353.85

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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.