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Finding the Fourth Proportional to 2,487.50, 3,729.73 and 1,024.84

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Solution

The fourth proportional to 2,487.50, 3,729.73 and 1,024.84 is: 1,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.50 : 3,729.73 = 1,024.84 : x
  2. Step 2: Convert to fraction form
    2,487.50/3,729.73 = 1,024.84/x
  3. Step 3: Cross multiply
    2,487.50x = 3,729.73 × 1,024.84
  4. Step 4: Simplify right side
    2,487.50x = 3,822,376.49
  5. Step 5: Solve for x
    x = 3,822,376.49/2,487.50
  6. Step 6: Final answer
    x = 1,536.63

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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.