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Finding the Fourth Proportional to 2,774.00, 4,161.41 and 1,604.63

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Solution

The fourth proportional to 2,774.00, 4,161.41 and 1,604.63 is: 2,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.00 : 4,161.41 = 1,604.63 : x
  2. Step 2: Convert to fraction form
    2,774.00/4,161.41 = 1,604.63/x
  3. Step 3: Cross multiply
    2,774.00x = 4,161.41 × 1,604.63
  4. Step 4: Simplify right side
    2,774.00x = 6,677,494.50
  5. Step 5: Solve for x
    x = 6,677,494.50/2,774.00
  6. Step 6: Final answer
    x = 2,407.18

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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.