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Finding the Fourth Proportional to 2,206.41, 3,309.51 and 646.35

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Solution

The fourth proportional to 2,206.41, 3,309.51 and 646.35 is: 969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.41 : 3,309.51 = 646.35 : x
  2. Step 2: Convert to fraction form
    2,206.41/3,309.51 = 646.35/x
  3. Step 3: Cross multiply
    2,206.41x = 3,309.51 × 646.35
  4. Step 4: Simplify right side
    2,206.41x = 2,139,104.21
  5. Step 5: Solve for x
    x = 2,139,104.21/2,206.41
  6. Step 6: Final answer
    x = 969.50

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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.