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Finding the Fourth Proportional to 3,243.54, 4,477.57 and 2,066.21

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Solution

The fourth proportional to 3,243.54, 4,477.57 and 2,066.21 is: 2,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.54 : 4,477.57 = 2,066.21 : x
  2. Step 2: Convert to fraction form
    3,243.54/4,477.57 = 2,066.21/x
  3. Step 3: Cross multiply
    3,243.54x = 4,477.57 × 2,066.21
  4. Step 4: Simplify right side
    3,243.54x = 9,251,572.36
  5. Step 5: Solve for x
    x = 9,251,572.36/3,243.54
  6. Step 6: Final answer
    x = 2,852.31

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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.