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Finding the Fourth Proportional to 2,016.54, 3,025.04 and 555.80

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Solution

The fourth proportional to 2,016.54, 3,025.04 and 555.80 is: 833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.54 : 3,025.04 = 555.80 : x
  2. Step 2: Convert to fraction form
    2,016.54/3,025.04 = 555.80/x
  3. Step 3: Cross multiply
    2,016.54x = 3,025.04 × 555.80
  4. Step 4: Simplify right side
    2,016.54x = 1,681,299.33
  5. Step 5: Solve for x
    x = 1,681,299.33/2,016.54
  6. Step 6: Final answer
    x = 833.75

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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.