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Finding the Fourth Proportional to 2,774.03, 4,161.06 and 2,654.06

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Solution

The fourth proportional to 2,774.03, 4,161.06 and 2,654.06 is: 3,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.03 : 4,161.06 = 2,654.06 : x
  2. Step 2: Convert to fraction form
    2,774.03/4,161.06 = 2,654.06/x
  3. Step 3: Cross multiply
    2,774.03x = 4,161.06 × 2,654.06
  4. Step 4: Simplify right side
    2,774.03x = 11,043,682.10
  5. Step 5: Solve for x
    x = 11,043,682.10/2,774.03
  6. Step 6: Final answer
    x = 3,981.10

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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.