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Finding the Fourth Proportional to 3,199.91, 4,415.34 and 1,783.29

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Solution

The fourth proportional to 3,199.91, 4,415.34 and 1,783.29 is: 2,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.91 : 4,415.34 = 1,783.29 : x
  2. Step 2: Convert to fraction form
    3,199.91/4,415.34 = 1,783.29/x
  3. Step 3: Cross multiply
    3,199.91x = 4,415.34 × 1,783.29
  4. Step 4: Simplify right side
    3,199.91x = 7,873,807.63
  5. Step 5: Solve for x
    x = 7,873,807.63/3,199.91
  6. Step 6: Final answer
    x = 2,460.64

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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.