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Finding the Fourth Proportional to 2,820.76, 4,233.40 and 1,999.84

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Solution

The fourth proportional to 2,820.76, 4,233.40 and 1,999.84 is: 3,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.76 : 4,233.40 = 1,999.84 : x
  2. Step 2: Convert to fraction form
    2,820.76/4,233.40 = 1,999.84/x
  3. Step 3: Cross multiply
    2,820.76x = 4,233.40 × 1,999.84
  4. Step 4: Simplify right side
    2,820.76x = 8,466,122.66
  5. Step 5: Solve for x
    x = 8,466,122.66/2,820.76
  6. Step 6: Final answer
    x = 3,001.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.