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Finding the Fourth Proportional to 3,125.54, 4,313.63 and 1,781.64

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Solution

The fourth proportional to 3,125.54, 4,313.63 and 1,781.64 is: 2,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.54 : 4,313.63 = 1,781.64 : x
  2. Step 2: Convert to fraction form
    3,125.54/4,313.63 = 1,781.64/x
  3. Step 3: Cross multiply
    3,125.54x = 4,313.63 × 1,781.64
  4. Step 4: Simplify right side
    3,125.54x = 7,685,335.75
  5. Step 5: Solve for x
    x = 7,685,335.75/3,125.54
  6. Step 6: Final answer
    x = 2,458.88

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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.