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Finding the Fourth Proportional to 2,023.41, 3,033.90 and 981.36

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Solution

The fourth proportional to 2,023.41, 3,033.90 and 981.36 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.41 : 3,033.90 = 981.36 : x
  2. Step 2: Convert to fraction form
    2,023.41/3,033.90 = 981.36/x
  3. Step 3: Cross multiply
    2,023.41x = 3,033.90 × 981.36
  4. Step 4: Simplify right side
    2,023.41x = 2,977,348.10
  5. Step 5: Solve for x
    x = 2,977,348.10/2,023.41
  6. Step 6: Final answer
    x = 1,471.45

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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.