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Finding the Fourth Proportional to 2,192.60, 3,020.64 and 1,528.24

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Solution

The fourth proportional to 2,192.60, 3,020.64 and 1,528.24 is: 2,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.60 : 3,020.64 = 1,528.24 : x
  2. Step 2: Convert to fraction form
    2,192.60/3,020.64 = 1,528.24/x
  3. Step 3: Cross multiply
    2,192.60x = 3,020.64 × 1,528.24
  4. Step 4: Simplify right side
    2,192.60x = 4,616,262.87
  5. Step 5: Solve for x
    x = 4,616,262.87/2,192.60
  6. Step 6: Final answer
    x = 2,105.38

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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.