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Finding the Fourth Proportional to 3,261.51, 4,892.26 and 921.56

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Solution

The fourth proportional to 3,261.51, 4,892.26 and 921.56 is: 1,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.51 : 4,892.26 = 921.56 : x
  2. Step 2: Convert to fraction form
    3,261.51/4,892.26 = 921.56/x
  3. Step 3: Cross multiply
    3,261.51x = 4,892.26 × 921.56
  4. Step 4: Simplify right side
    3,261.51x = 4,508,482.06
  5. Step 5: Solve for x
    x = 4,508,482.06/3,261.51
  6. Step 6: Final answer
    x = 1,382.33

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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.