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Finding the Fourth Proportional to 2,022.50, 3,034.74 and 926.62

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Solution

The fourth proportional to 2,022.50, 3,034.74 and 926.62 is: 1,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.50 : 3,034.74 = 926.62 : x
  2. Step 2: Convert to fraction form
    2,022.50/3,034.74 = 926.62/x
  3. Step 3: Cross multiply
    2,022.50x = 3,034.74 × 926.62
  4. Step 4: Simplify right side
    2,022.50x = 2,812,050.78
  5. Step 5: Solve for x
    x = 2,812,050.78/2,022.50
  6. Step 6: Final answer
    x = 1,390.38

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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.