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Finding the Fourth Proportional to 2,949.53, 4,065.90 and 2,424.65

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Solution

The fourth proportional to 2,949.53, 4,065.90 and 2,424.65 is: 3,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.53 : 4,065.90 = 2,424.65 : x
  2. Step 2: Convert to fraction form
    2,949.53/4,065.90 = 2,424.65/x
  3. Step 3: Cross multiply
    2,949.53x = 4,065.90 × 2,424.65
  4. Step 4: Simplify right side
    2,949.53x = 9,858,384.44
  5. Step 5: Solve for x
    x = 9,858,384.44/2,949.53
  6. Step 6: Final answer
    x = 3,342.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.