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Finding the Fourth Proportional to 2,548.19, 3,822.27 and 904.79

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Solution

The fourth proportional to 2,548.19, 3,822.27 and 904.79 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.19 : 3,822.27 = 904.79 : x
  2. Step 2: Convert to fraction form
    2,548.19/3,822.27 = 904.79/x
  3. Step 3: Cross multiply
    2,548.19x = 3,822.27 × 904.79
  4. Step 4: Simplify right side
    2,548.19x = 3,458,351.67
  5. Step 5: Solve for x
    x = 3,458,351.67/2,548.19
  6. Step 6: Final answer
    x = 1,357.18

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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.