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Finding the Fourth Proportional to 2,206.93, 3,310.07 and 646.52

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Solution

The fourth proportional to 2,206.93, 3,310.07 and 646.52 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.93 : 3,310.07 = 646.52 : x
  2. Step 2: Convert to fraction form
    2,206.93/3,310.07 = 646.52/x
  3. Step 3: Cross multiply
    2,206.93x = 3,310.07 × 646.52
  4. Step 4: Simplify right side
    2,206.93x = 2,140,026.46
  5. Step 5: Solve for x
    x = 2,140,026.46/2,206.93
  6. Step 6: Final answer
    x = 969.68

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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.