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Finding the Fourth Proportional to 3,225.16, 4,829.34 and 1,761.31

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Solution

The fourth proportional to 3,225.16, 4,829.34 and 1,761.31 is: 2,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.16 : 4,829.34 = 1,761.31 : x
  2. Step 2: Convert to fraction form
    3,225.16/4,829.34 = 1,761.31/x
  3. Step 3: Cross multiply
    3,225.16x = 4,829.34 × 1,761.31
  4. Step 4: Simplify right side
    3,225.16x = 8,505,964.84
  5. Step 5: Solve for x
    x = 8,505,964.84/3,225.16
  6. Step 6: Final answer
    x = 2,637.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.