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Finding the Fourth Proportional to 2,686.39, 4,031.17 and 1,453.77

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Solution

The fourth proportional to 2,686.39, 4,031.17 and 1,453.77 is: 2,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.39 : 4,031.17 = 1,453.77 : x
  2. Step 2: Convert to fraction form
    2,686.39/4,031.17 = 1,453.77/x
  3. Step 3: Cross multiply
    2,686.39x = 4,031.17 × 1,453.77
  4. Step 4: Simplify right side
    2,686.39x = 5,860,390.38
  5. Step 5: Solve for x
    x = 5,860,390.38/2,686.39
  6. Step 6: Final answer
    x = 2,181.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.