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Finding the Fourth Proportional to 2,120.93, 3,179.85 and 1,425.87

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Solution

The fourth proportional to 2,120.93, 3,179.85 and 1,425.87 is: 2,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.93 : 3,179.85 = 1,425.87 : x
  2. Step 2: Convert to fraction form
    2,120.93/3,179.85 = 1,425.87/x
  3. Step 3: Cross multiply
    2,120.93x = 3,179.85 × 1,425.87
  4. Step 4: Simplify right side
    2,120.93x = 4,534,055.39
  5. Step 5: Solve for x
    x = 4,534,055.39/2,120.93
  6. Step 6: Final answer
    x = 2,137.77

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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.