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Finding the Fourth Proportional to 3,162.25, 4,365.53 and 1,984.51

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Solution

The fourth proportional to 3,162.25, 4,365.53 and 1,984.51 is: 2,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.25 : 4,365.53 = 1,984.51 : x
  2. Step 2: Convert to fraction form
    3,162.25/4,365.53 = 1,984.51/x
  3. Step 3: Cross multiply
    3,162.25x = 4,365.53 × 1,984.51
  4. Step 4: Simplify right side
    3,162.25x = 8,663,437.94
  5. Step 5: Solve for x
    x = 8,663,437.94/3,162.25
  6. Step 6: Final answer
    x = 2,739.64

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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.