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Finding the Fourth Proportional to 2,638.04, 3,956.98 and 1,099

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Solution

The fourth proportional to 2,638.04, 3,956.98 and 1,099 is: 1,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.04 : 3,956.98 = 1,099 : x
  2. Step 2: Convert to fraction form
    2,638.04/3,956.98 = 1,099/x
  3. Step 3: Cross multiply
    2,638.04x = 3,956.98 × 1,099
  4. Step 4: Simplify right side
    2,638.04x = 4,348,721.02
  5. Step 5: Solve for x
    x = 4,348,721.02/2,638.04
  6. Step 6: Final answer
    x = 1,648.47

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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.