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Finding the Fourth Proportional to 2,207.23, 3,310 and 646.71

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Solution

The fourth proportional to 2,207.23, 3,310 and 646.71 is: 969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.23 : 3,310 = 646.71 : x
  2. Step 2: Convert to fraction form
    2,207.23/3,310 = 646.71/x
  3. Step 3: Cross multiply
    2,207.23x = 3,310 × 646.71
  4. Step 4: Simplify right side
    2,207.23x = 2,140,610.10
  5. Step 5: Solve for x
    x = 2,140,610.10/2,207.23
  6. Step 6: Final answer
    x = 969.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.