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Finding the Fourth Proportional to 2,534.72, 3,499.39 and 1,684.66

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Solution

The fourth proportional to 2,534.72, 3,499.39 and 1,684.66 is: 2,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.72 : 3,499.39 = 1,684.66 : x
  2. Step 2: Convert to fraction form
    2,534.72/3,499.39 = 1,684.66/x
  3. Step 3: Cross multiply
    2,534.72x = 3,499.39 × 1,684.66
  4. Step 4: Simplify right side
    2,534.72x = 5,895,282.36
  5. Step 5: Solve for x
    x = 5,895,282.36/2,534.72
  6. Step 6: Final answer
    x = 2,325.81

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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.