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Finding the Fourth Proportional to 2,497.23, 3,743.79 and 1,035.57

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Solution

The fourth proportional to 2,497.23, 3,743.79 and 1,035.57 is: 1,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.23 : 3,743.79 = 1,035.57 : x
  2. Step 2: Convert to fraction form
    2,497.23/3,743.79 = 1,035.57/x
  3. Step 3: Cross multiply
    2,497.23x = 3,743.79 × 1,035.57
  4. Step 4: Simplify right side
    2,497.23x = 3,876,956.61
  5. Step 5: Solve for x
    x = 3,876,956.61/2,497.23
  6. Step 6: Final answer
    x = 1,552.50

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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.