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Finding the Fourth Proportional to 2,822.14, 3,894.53 and 1,687.64

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Solution

The fourth proportional to 2,822.14, 3,894.53 and 1,687.64 is: 2,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.14 : 3,894.53 = 1,687.64 : x
  2. Step 2: Convert to fraction form
    2,822.14/3,894.53 = 1,687.64/x
  3. Step 3: Cross multiply
    2,822.14x = 3,894.53 × 1,687.64
  4. Step 4: Simplify right side
    2,822.14x = 6,572,546.19
  5. Step 5: Solve for x
    x = 6,572,546.19/2,822.14
  6. Step 6: Final answer
    x = 2,328.92

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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.