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Finding the Fourth Proportional to 3,023.86, 4,537.62 and 1,928.62

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Solution

The fourth proportional to 3,023.86, 4,537.62 and 1,928.62 is: 2,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.86 : 4,537.62 = 1,928.62 : x
  2. Step 2: Convert to fraction form
    3,023.86/4,537.62 = 1,928.62/x
  3. Step 3: Cross multiply
    3,023.86x = 4,537.62 × 1,928.62
  4. Step 4: Simplify right side
    3,023.86x = 8,751,344.68
  5. Step 5: Solve for x
    x = 8,751,344.68/3,023.86
  6. Step 6: Final answer
    x = 2,894.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.