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Finding the Fourth Proportional to 2,016.26, 3,024.38 and 555.83

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Solution

The fourth proportional to 2,016.26, 3,024.38 and 555.83 is: 833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.26 : 3,024.38 = 555.83 : x
  2. Step 2: Convert to fraction form
    2,016.26/3,024.38 = 555.83/x
  3. Step 3: Cross multiply
    2,016.26x = 3,024.38 × 555.83
  4. Step 4: Simplify right side
    2,016.26x = 1,681,027.40
  5. Step 5: Solve for x
    x = 1,681,027.40/2,016.26
  6. Step 6: Final answer
    x = 833.74

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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.