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Finding the Fourth Proportional to 2,064.72, 3,096.90 and 604.20

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Solution

The fourth proportional to 2,064.72, 3,096.90 and 604.20 is: 906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.72 : 3,096.90 = 604.20 : x
  2. Step 2: Convert to fraction form
    2,064.72/3,096.90 = 604.20/x
  3. Step 3: Cross multiply
    2,064.72x = 3,096.90 × 604.20
  4. Step 4: Simplify right side
    2,064.72x = 1,871,146.98
  5. Step 5: Solve for x
    x = 1,871,146.98/2,064.72
  6. Step 6: Final answer
    x = 906.25

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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.