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Finding the Fourth Proportional to 2,677.47, 3,695.05 and 1,682.38

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Solution

The fourth proportional to 2,677.47, 3,695.05 and 1,682.38 is: 2,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.47 : 3,695.05 = 1,682.38 : x
  2. Step 2: Convert to fraction form
    2,677.47/3,695.05 = 1,682.38/x
  3. Step 3: Cross multiply
    2,677.47x = 3,695.05 × 1,682.38
  4. Step 4: Simplify right side
    2,677.47x = 6,216,478.22
  5. Step 5: Solve for x
    x = 6,216,478.22/2,677.47
  6. Step 6: Final answer
    x = 2,321.77

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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.