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Finding the Fourth Proportional to 2,821.82, 3,894.02 and 1,562.93

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Solution

The fourth proportional to 2,821.82, 3,894.02 and 1,562.93 is: 2,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.82 : 3,894.02 = 1,562.93 : x
  2. Step 2: Convert to fraction form
    2,821.82/3,894.02 = 1,562.93/x
  3. Step 3: Cross multiply
    2,821.82x = 3,894.02 × 1,562.93
  4. Step 4: Simplify right side
    2,821.82x = 6,086,076.77
  5. Step 5: Solve for x
    x = 6,086,076.77/2,821.82
  6. Step 6: Final answer
    x = 2,156.79

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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.