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Finding the Fourth Proportional to 2,024.73, 2,794.14 and 1,140.55

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Solution

The fourth proportional to 2,024.73, 2,794.14 and 1,140.55 is: 1,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.73 : 2,794.14 = 1,140.55 : x
  2. Step 2: Convert to fraction form
    2,024.73/2,794.14 = 1,140.55/x
  3. Step 3: Cross multiply
    2,024.73x = 2,794.14 × 1,140.55
  4. Step 4: Simplify right side
    2,024.73x = 3,186,856.38
  5. Step 5: Solve for x
    x = 3,186,856.38/2,024.73
  6. Step 6: Final answer
    x = 1,573.97

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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.