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Finding the Fourth Proportional to 2,023.98, 3,033.60 and 928.45

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Solution

The fourth proportional to 2,023.98, 3,033.60 and 928.45 is: 1,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.98 : 3,033.60 = 928.45 : x
  2. Step 2: Convert to fraction form
    2,023.98/3,033.60 = 928.45/x
  3. Step 3: Cross multiply
    2,023.98x = 3,033.60 × 928.45
  4. Step 4: Simplify right side
    2,023.98x = 2,816,545.92
  5. Step 5: Solve for x
    x = 2,816,545.92/2,023.98
  6. Step 6: Final answer
    x = 1,391.59

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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.