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Finding the Fourth Proportional to 2,016.02, 3,023.46 and 861.50

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Solution

The fourth proportional to 2,016.02, 3,023.46 and 861.50 is: 1,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.02 : 3,023.46 = 861.50 : x
  2. Step 2: Convert to fraction form
    2,016.02/3,023.46 = 861.50/x
  3. Step 3: Cross multiply
    2,016.02x = 3,023.46 × 861.50
  4. Step 4: Simplify right side
    2,016.02x = 2,604,710.79
  5. Step 5: Solve for x
    x = 2,604,710.79/2,016.02
  6. Step 6: Final answer
    x = 1,292.01

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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.