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Finding the Fourth Proportional to 2,192.51, 3,288.74 and 1,487.97

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Solution

The fourth proportional to 2,192.51, 3,288.74 and 1,487.97 is: 2,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.51 : 3,288.74 = 1,487.97 : x
  2. Step 2: Convert to fraction form
    2,192.51/3,288.74 = 1,487.97/x
  3. Step 3: Cross multiply
    2,192.51x = 3,288.74 × 1,487.97
  4. Step 4: Simplify right side
    2,192.51x = 4,893,539.02
  5. Step 5: Solve for x
    x = 4,893,539.02/2,192.51
  6. Step 6: Final answer
    x = 2,231.93

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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.