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Finding the Fourth Proportional to 2,063.54, 3,092.04 and 1,652.54

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Solution

The fourth proportional to 2,063.54, 3,092.04 and 1,652.54 is: 2,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.54 : 3,092.04 = 1,652.54 : x
  2. Step 2: Convert to fraction form
    2,063.54/3,092.04 = 1,652.54/x
  3. Step 3: Cross multiply
    2,063.54x = 3,092.04 × 1,652.54
  4. Step 4: Simplify right side
    2,063.54x = 5,109,704.32
  5. Step 5: Solve for x
    x = 5,109,704.32/2,063.54
  6. Step 6: Final answer
    x = 2,476.18

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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.