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Finding the Fourth Proportional to 2,016.67, 3,024.84 and 920.95

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Solution

The fourth proportional to 2,016.67, 3,024.84 and 920.95 is: 1,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.67 : 3,024.84 = 920.95 : x
  2. Step 2: Convert to fraction form
    2,016.67/3,024.84 = 920.95/x
  3. Step 3: Cross multiply
    2,016.67x = 3,024.84 × 920.95
  4. Step 4: Simplify right side
    2,016.67x = 2,785,733.96
  5. Step 5: Solve for x
    x = 2,785,733.96/2,016.67
  6. Step 6: Final answer
    x = 1,381.35

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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.