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Finding the Fourth Proportional to 2,061.54, 3,092.27 and 501.55

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Solution

The fourth proportional to 2,061.54, 3,092.27 and 501.55 is: 752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.54 : 3,092.27 = 501.55 : x
  2. Step 2: Convert to fraction form
    2,061.54/3,092.27 = 501.55/x
  3. Step 3: Cross multiply
    2,061.54x = 3,092.27 × 501.55
  4. Step 4: Simplify right side
    2,061.54x = 1,550,927.98
  5. Step 5: Solve for x
    x = 1,550,927.98/2,061.54
  6. Step 6: Final answer
    x = 752.32

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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.