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Finding the Fourth Proportional to 2,064.62, 3,097.93 and 1,024.43

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Solution

The fourth proportional to 2,064.62, 3,097.93 and 1,024.43 is: 1,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.62 : 3,097.93 = 1,024.43 : x
  2. Step 2: Convert to fraction form
    2,064.62/3,097.93 = 1,024.43/x
  3. Step 3: Cross multiply
    2,064.62x = 3,097.93 × 1,024.43
  4. Step 4: Simplify right side
    2,064.62x = 3,173,613.73
  5. Step 5: Solve for x
    x = 3,173,613.73/2,064.62
  6. Step 6: Final answer
    x = 1,537.14

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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.