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Finding the Fourth Proportional to 2,695.11, 3,719.84 and 1,647.78

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Solution

The fourth proportional to 2,695.11, 3,719.84 and 1,647.78 is: 2,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.11 : 3,719.84 = 1,647.78 : x
  2. Step 2: Convert to fraction form
    2,695.11/3,719.84 = 1,647.78/x
  3. Step 3: Cross multiply
    2,695.11x = 3,719.84 × 1,647.78
  4. Step 4: Simplify right side
    2,695.11x = 6,129,477.96
  5. Step 5: Solve for x
    x = 6,129,477.96/2,695.11
  6. Step 6: Final answer
    x = 2,274.30

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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.