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Finding the Fourth Proportional to 3,105.52, 4,284.77 and 2,160.25

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Solution

The fourth proportional to 3,105.52, 4,284.77 and 2,160.25 is: 2,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.52 : 4,284.77 = 2,160.25 : x
  2. Step 2: Convert to fraction form
    3,105.52/4,284.77 = 2,160.25/x
  3. Step 3: Cross multiply
    3,105.52x = 4,284.77 × 2,160.25
  4. Step 4: Simplify right side
    3,105.52x = 9,256,152.88
  5. Step 5: Solve for x
    x = 9,256,152.88/3,105.52
  6. Step 6: Final answer
    x = 2,980.55

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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.