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Finding the Fourth Proportional to 2,033.43, 3,050.15 and 646.50

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Solution

The fourth proportional to 2,033.43, 3,050.15 and 646.50 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.43 : 3,050.15 = 646.50 : x
  2. Step 2: Convert to fraction form
    2,033.43/3,050.15 = 646.50/x
  3. Step 3: Cross multiply
    2,033.43x = 3,050.15 × 646.50
  4. Step 4: Simplify right side
    2,033.43x = 1,971,930.18
  5. Step 5: Solve for x
    x = 1,971,930.18/2,033.43
  6. Step 6: Final answer
    x = 969.76

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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.