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Finding the Fourth Proportional to 2,548.64, 3,508.44 and 2,192.24

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Solution

The fourth proportional to 2,548.64, 3,508.44 and 2,192.24 is: 3,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.64 : 3,508.44 = 2,192.24 : x
  2. Step 2: Convert to fraction form
    2,548.64/3,508.44 = 2,192.24/x
  3. Step 3: Cross multiply
    2,548.64x = 3,508.44 × 2,192.24
  4. Step 4: Simplify right side
    2,548.64x = 7,691,342.51
  5. Step 5: Solve for x
    x = 7,691,342.51/2,548.64
  6. Step 6: Final answer
    x = 3,017.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.