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Finding the Fourth Proportional to 3,304.02, 4,956.03 and 1,823.17

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Solution

The fourth proportional to 3,304.02, 4,956.03 and 1,823.17 is: 2,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.02 : 4,956.03 = 1,823.17 : x
  2. Step 2: Convert to fraction form
    3,304.02/4,956.03 = 1,823.17/x
  3. Step 3: Cross multiply
    3,304.02x = 4,956.03 × 1,823.17
  4. Step 4: Simplify right side
    3,304.02x = 9,035,676.10
  5. Step 5: Solve for x
    x = 9,035,676.10/3,304.02
  6. Step 6: Final answer
    x = 2,734.75

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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.