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Finding the Fourth Proportional to 2,043.84, 2,822.02 and 1,808.04

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Solution

The fourth proportional to 2,043.84, 2,822.02 and 1,808.04 is: 2,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.84 : 2,822.02 = 1,808.04 : x
  2. Step 2: Convert to fraction form
    2,043.84/2,822.02 = 1,808.04/x
  3. Step 3: Cross multiply
    2,043.84x = 2,822.02 × 1,808.04
  4. Step 4: Simplify right side
    2,043.84x = 5,102,325.04
  5. Step 5: Solve for x
    x = 5,102,325.04/2,043.84
  6. Step 6: Final answer
    x = 2,496.44

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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.