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Finding the Fourth Proportional to 2,465.80, 3,712.01 and 2,247.82

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Solution

The fourth proportional to 2,465.80, 3,712.01 and 2,247.82 is: 3,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.80 : 3,712.01 = 2,247.82 : x
  2. Step 2: Convert to fraction form
    2,465.80/3,712.01 = 2,247.82/x
  3. Step 3: Cross multiply
    2,465.80x = 3,712.01 × 2,247.82
  4. Step 4: Simplify right side
    2,465.80x = 8,343,930.32
  5. Step 5: Solve for x
    x = 8,343,930.32/2,465.80
  6. Step 6: Final answer
    x = 3,383.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.