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Finding the Fourth Proportional to 3,199.94, 4,415.81 and 1,783.56

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Solution

The fourth proportional to 3,199.94, 4,415.81 and 1,783.56 is: 2,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.94 : 4,415.81 = 1,783.56 : x
  2. Step 2: Convert to fraction form
    3,199.94/4,415.81 = 1,783.56/x
  3. Step 3: Cross multiply
    3,199.94x = 4,415.81 × 1,783.56
  4. Step 4: Simplify right side
    3,199.94x = 7,875,853.17
  5. Step 5: Solve for x
    x = 7,875,853.17/3,199.94
  6. Step 6: Final answer
    x = 2,461.25

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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.