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Finding the Fourth Proportional to 2,101.92, 3,153.06 and 562.92

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Solution

The fourth proportional to 2,101.92, 3,153.06 and 562.92 is: 844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.92 : 3,153.06 = 562.92 : x
  2. Step 2: Convert to fraction form
    2,101.92/3,153.06 = 562.92/x
  3. Step 3: Cross multiply
    2,101.92x = 3,153.06 × 562.92
  4. Step 4: Simplify right side
    2,101.92x = 1,774,920.54
  5. Step 5: Solve for x
    x = 1,774,920.54/2,101.92
  6. Step 6: Final answer
    x = 844.43

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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.