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Finding the Fourth Proportional to 3,297.60, 4,943.08 and 1,447.16

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Solution

The fourth proportional to 3,297.60, 4,943.08 and 1,447.16 is: 2,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.60 : 4,943.08 = 1,447.16 : x
  2. Step 2: Convert to fraction form
    3,297.60/4,943.08 = 1,447.16/x
  3. Step 3: Cross multiply
    3,297.60x = 4,943.08 × 1,447.16
  4. Step 4: Simplify right side
    3,297.60x = 7,153,427.65
  5. Step 5: Solve for x
    x = 7,153,427.65/3,297.60
  6. Step 6: Final answer
    x = 2,169.28

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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.