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Finding the Fourth Proportional to 2,009.37, 3,014.06 and 548.56

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Solution

The fourth proportional to 2,009.37, 3,014.06 and 548.56 is: 822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.37 : 3,014.06 = 548.56 : x
  2. Step 2: Convert to fraction form
    2,009.37/3,014.06 = 548.56/x
  3. Step 3: Cross multiply
    2,009.37x = 3,014.06 × 548.56
  4. Step 4: Simplify right side
    2,009.37x = 1,653,393.78
  5. Step 5: Solve for x
    x = 1,653,393.78/2,009.37
  6. Step 6: Final answer
    x = 822.84

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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.