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Finding the Fourth Proportional to 4,864.50, 7,299.99 and 1,786.50

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Solution

The fourth proportional to 4,864.50, 7,299.99 and 1,786.50 is: 2,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.50 : 7,299.99 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    4,864.50/7,299.99 = 1,786.50/x
  3. Step 3: Cross multiply
    4,864.50x = 7,299.99 × 1,786.50
  4. Step 4: Simplify right side
    4,864.50x = 13,041,432.14
  5. Step 5: Solve for x
    x = 13,041,432.14/4,864.50
  6. Step 6: Final answer
    x = 2,680.94

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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.