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Finding the Fourth Proportional to 3,023.70, 4,539.60 and 1,930.20

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Solution

The fourth proportional to 3,023.70, 4,539.60 and 1,930.20 is: 2,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.70 : 4,539.60 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    3,023.70/4,539.60 = 1,930.20/x
  3. Step 3: Cross multiply
    3,023.70x = 4,539.60 × 1,930.20
  4. Step 4: Simplify right side
    3,023.70x = 8,762,335.92
  5. Step 5: Solve for x
    x = 8,762,335.92/3,023.70
  6. Step 6: Final answer
    x = 2,897.89

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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.