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Finding the Fourth Proportional to 2,000.83, 2,983.61 and 1,862.32

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Solution

The fourth proportional to 2,000.83, 2,983.61 and 1,862.32 is: 2,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.83 : 2,983.61 = 1,862.32 : x
  2. Step 2: Convert to fraction form
    2,000.83/2,983.61 = 1,862.32/x
  3. Step 3: Cross multiply
    2,000.83x = 2,983.61 × 1,862.32
  4. Step 4: Simplify right side
    2,000.83x = 5,556,436.58
  5. Step 5: Solve for x
    x = 5,556,436.58/2,000.83
  6. Step 6: Final answer
    x = 2,777.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.