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Finding the Fourth Proportional to 2,016.83, 3,023.95 and 783.22

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Solution

The fourth proportional to 2,016.83, 3,023.95 and 783.22 is: 1,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.83 : 3,023.95 = 783.22 : x
  2. Step 2: Convert to fraction form
    2,016.83/3,023.95 = 783.22/x
  3. Step 3: Cross multiply
    2,016.83x = 3,023.95 × 783.22
  4. Step 4: Simplify right side
    2,016.83x = 2,368,423.72
  5. Step 5: Solve for x
    x = 2,368,423.72/2,016.83
  6. Step 6: Final answer
    x = 1,174.33

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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.