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Finding the Fourth Proportional to 2,695, 3,719.10 and 1,867.48

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Solution

The fourth proportional to 2,695, 3,719.10 and 1,867.48 is: 2,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695 : 3,719.10 = 1,867.48 : x
  2. Step 2: Convert to fraction form
    2,695/3,719.10 = 1,867.48/x
  3. Step 3: Cross multiply
    2,695x = 3,719.10 × 1,867.48
  4. Step 4: Simplify right side
    2,695x = 6,945,344.87
  5. Step 5: Solve for x
    x = 6,945,344.87/2,695
  6. Step 6: Final answer
    x = 2,577.12

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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.