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Finding the Fourth Proportional to 2,548.11, 3,822.63 and 904.17

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Solution

The fourth proportional to 2,548.11, 3,822.63 and 904.17 is: 1,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.11 : 3,822.63 = 904.17 : x
  2. Step 2: Convert to fraction form
    2,548.11/3,822.63 = 904.17/x
  3. Step 3: Cross multiply
    2,548.11x = 3,822.63 × 904.17
  4. Step 4: Simplify right side
    2,548.11x = 3,456,307.37
  5. Step 5: Solve for x
    x = 3,456,307.37/2,548.11
  6. Step 6: Final answer
    x = 1,356.42

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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.