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Finding the Fourth Proportional to 3,297.92, 4,548.04 and 2,101.65

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Solution

The fourth proportional to 3,297.92, 4,548.04 and 2,101.65 is: 2,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.92 : 4,548.04 = 2,101.65 : x
  2. Step 2: Convert to fraction form
    3,297.92/4,548.04 = 2,101.65/x
  3. Step 3: Cross multiply
    3,297.92x = 4,548.04 × 2,101.65
  4. Step 4: Simplify right side
    3,297.92x = 9,558,409.51
  5. Step 5: Solve for x
    x = 9,558,409.51/3,297.92
  6. Step 6: Final answer
    x = 2,898.32

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Why These Related Problems?

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