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Finding the Fourth Proportional to 2,486.80, 3,730.17 and 1,024.93

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Solution

The fourth proportional to 2,486.80, 3,730.17 and 1,024.93 is: 1,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.80 : 3,730.17 = 1,024.93 : x
  2. Step 2: Convert to fraction form
    2,486.80/3,730.17 = 1,024.93/x
  3. Step 3: Cross multiply
    2,486.80x = 3,730.17 × 1,024.93
  4. Step 4: Simplify right side
    2,486.80x = 3,823,163.14
  5. Step 5: Solve for x
    x = 3,823,163.14/2,486.80
  6. Step 6: Final answer
    x = 1,537.38

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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.