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Finding the Fourth Proportional to 2,545.92, 3,512.10 and 2,196

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Solution

The fourth proportional to 2,545.92, 3,512.10 and 2,196 is: 3,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.92 : 3,512.10 = 2,196 : x
  2. Step 2: Convert to fraction form
    2,545.92/3,512.10 = 2,196/x
  3. Step 3: Cross multiply
    2,545.92x = 3,512.10 × 2,196
  4. Step 4: Simplify right side
    2,545.92x = 7,712,571.60
  5. Step 5: Solve for x
    x = 7,712,571.60/2,545.92
  6. Step 6: Final answer
    x = 3,029.38

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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.