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Finding the Fourth Proportional to 2,822.04, 3,894.14 and 1,687.48

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Solution

The fourth proportional to 2,822.04, 3,894.14 and 1,687.48 is: 2,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.04 : 3,894.14 = 1,687.48 : x
  2. Step 2: Convert to fraction form
    2,822.04/3,894.14 = 1,687.48/x
  3. Step 3: Cross multiply
    2,822.04x = 3,894.14 × 1,687.48
  4. Step 4: Simplify right side
    2,822.04x = 6,571,283.37
  5. Step 5: Solve for x
    x = 6,571,283.37/2,822.04
  6. Step 6: Final answer
    x = 2,328.56

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1.5x scale

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.