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Finding the Fourth Proportional to 3,199.64, 4,415.76 and 1,783.78

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Solution

The fourth proportional to 3,199.64, 4,415.76 and 1,783.78 is: 2,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.64 : 4,415.76 = 1,783.78 : x
  2. Step 2: Convert to fraction form
    3,199.64/4,415.76 = 1,783.78/x
  3. Step 3: Cross multiply
    3,199.64x = 4,415.76 × 1,783.78
  4. Step 4: Simplify right side
    3,199.64x = 7,876,744.37
  5. Step 5: Solve for x
    x = 7,876,744.37/3,199.64
  6. Step 6: Final answer
    x = 2,461.76

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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.