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Finding the Fourth Proportional to 2,548.23, 3,822.17 and 904.57

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Solution

The fourth proportional to 2,548.23, 3,822.17 and 904.57 is: 1,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.23 : 3,822.17 = 904.57 : x
  2. Step 2: Convert to fraction form
    2,548.23/3,822.17 = 904.57/x
  3. Step 3: Cross multiply
    2,548.23x = 3,822.17 × 904.57
  4. Step 4: Simplify right side
    2,548.23x = 3,457,420.32
  5. Step 5: Solve for x
    x = 3,457,420.32/2,548.23
  6. Step 6: Final answer
    x = 1,356.79

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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.