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Finding the Fourth Proportional to 2,142.92, 3,216.21 and 1,528.13

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Solution

The fourth proportional to 2,142.92, 3,216.21 and 1,528.13 is: 2,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.92 : 3,216.21 = 1,528.13 : x
  2. Step 2: Convert to fraction form
    2,142.92/3,216.21 = 1,528.13/x
  3. Step 3: Cross multiply
    2,142.92x = 3,216.21 × 1,528.13
  4. Step 4: Simplify right side
    2,142.92x = 4,914,786.99
  5. Step 5: Solve for x
    x = 4,914,786.99/2,142.92
  6. Step 6: Final answer
    x = 2,293.50

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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.