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Finding the Fourth Proportional to 2,033.92, 3,050.99 and 647.16

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Solution

The fourth proportional to 2,033.92, 3,050.99 and 647.16 is: 970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.92 : 3,050.99 = 647.16 : x
  2. Step 2: Convert to fraction form
    2,033.92/3,050.99 = 647.16/x
  3. Step 3: Cross multiply
    2,033.92x = 3,050.99 × 647.16
  4. Step 4: Simplify right side
    2,033.92x = 1,974,478.69
  5. Step 5: Solve for x
    x = 1,974,478.69/2,033.92
  6. Step 6: Final answer
    x = 970.78

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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.