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Finding the Fourth Proportional to 2,145.31, 3,217.65 and 829.68

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Solution

The fourth proportional to 2,145.31, 3,217.65 and 829.68 is: 1,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.31 : 3,217.65 = 829.68 : x
  2. Step 2: Convert to fraction form
    2,145.31/3,217.65 = 829.68/x
  3. Step 3: Cross multiply
    2,145.31x = 3,217.65 × 829.68
  4. Step 4: Simplify right side
    2,145.31x = 2,669,603.76
  5. Step 5: Solve for x
    x = 2,669,603.76/2,145.31
  6. Step 6: Final answer
    x = 1,244.39

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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.