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Finding the Fourth Proportional to 3,194.70, 4,410.75 and 2,017.50

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Solution

The fourth proportional to 3,194.70, 4,410.75 and 2,017.50 is: 2,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.70 : 4,410.75 = 2,017.50 : x
  2. Step 2: Convert to fraction form
    3,194.70/4,410.75 = 2,017.50/x
  3. Step 3: Cross multiply
    3,194.70x = 4,410.75 × 2,017.50
  4. Step 4: Simplify right side
    3,194.70x = 8,898,688.13
  5. Step 5: Solve for x
    x = 8,898,688.13/3,194.70
  6. Step 6: Final answer
    x = 2,785.45

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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.