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Finding the Fourth Proportional to 2,023.00, 3,034.60 and 1,988.48

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Solution

The fourth proportional to 2,023.00, 3,034.60 and 1,988.48 is: 2,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.00 : 3,034.60 = 1,988.48 : x
  2. Step 2: Convert to fraction form
    2,023.00/3,034.60 = 1,988.48/x
  3. Step 3: Cross multiply
    2,023.00x = 3,034.60 × 1,988.48
  4. Step 4: Simplify right side
    2,023.00x = 6,034,244.02
  5. Step 5: Solve for x
    x = 6,034,244.02/2,023.00
  6. Step 6: Final answer
    x = 2,982.82

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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.