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Finding the Fourth Proportional to 3,023.76, 4,174.64 and 1,977.65

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Solution

The fourth proportional to 3,023.76, 4,174.64 and 1,977.65 is: 2,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.76 : 4,174.64 = 1,977.65 : x
  2. Step 2: Convert to fraction form
    3,023.76/4,174.64 = 1,977.65/x
  3. Step 3: Cross multiply
    3,023.76x = 4,174.64 × 1,977.65
  4. Step 4: Simplify right side
    3,023.76x = 8,255,976.80
  5. Step 5: Solve for x
    x = 8,255,976.80/3,023.76
  6. Step 6: Final answer
    x = 2,730.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.