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Finding the Fourth Proportional to 2,055.36, 3,083.34 and 649.30

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Solution

The fourth proportional to 2,055.36, 3,083.34 and 649.30 is: 974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.36 : 3,083.34 = 649.30 : x
  2. Step 2: Convert to fraction form
    2,055.36/3,083.34 = 649.30/x
  3. Step 3: Cross multiply
    2,055.36x = 3,083.34 × 649.30
  4. Step 4: Simplify right side
    2,055.36x = 2,002,020.02
  5. Step 5: Solve for x
    x = 2,002,020.02/2,055.36
  6. Step 6: Final answer
    x = 974.05

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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.