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Finding the Fourth Proportional to 2,295.92, 3,442.98 and 996.50

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Solution

The fourth proportional to 2,295.92, 3,442.98 and 996.50 is: 1,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.92 : 3,442.98 = 996.50 : x
  2. Step 2: Convert to fraction form
    2,295.92/3,442.98 = 996.50/x
  3. Step 3: Cross multiply
    2,295.92x = 3,442.98 × 996.50
  4. Step 4: Simplify right side
    2,295.92x = 3,430,929.57
  5. Step 5: Solve for x
    x = 3,430,929.57/2,295.92
  6. Step 6: Final answer
    x = 1,494.36

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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.