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Finding the Fourth Proportional to 2,890.92, 3,989.48 and 1,712.56

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Solution

The fourth proportional to 2,890.92, 3,989.48 and 1,712.56 is: 2,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.92 : 3,989.48 = 1,712.56 : x
  2. Step 2: Convert to fraction form
    2,890.92/3,989.48 = 1,712.56/x
  3. Step 3: Cross multiply
    2,890.92x = 3,989.48 × 1,712.56
  4. Step 4: Simplify right side
    2,890.92x = 6,832,223.87
  5. Step 5: Solve for x
    x = 6,832,223.87/2,890.92
  6. Step 6: Final answer
    x = 2,363.34

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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.