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Finding the Fourth Proportional to 2,429.49, 3,645.18 and 969.06

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Solution

The fourth proportional to 2,429.49, 3,645.18 and 969.06 is: 1,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.49 : 3,645.18 = 969.06 : x
  2. Step 2: Convert to fraction form
    2,429.49/3,645.18 = 969.06/x
  3. Step 3: Cross multiply
    2,429.49x = 3,645.18 × 969.06
  4. Step 4: Simplify right side
    2,429.49x = 3,532,398.13
  5. Step 5: Solve for x
    x = 3,532,398.13/2,429.49
  6. Step 6: Final answer
    x = 1,453.97

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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.