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Finding the Fourth Proportional to 2,062.25, 3,094.38 and 830.54

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Solution

The fourth proportional to 2,062.25, 3,094.38 and 830.54 is: 1,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.25 : 3,094.38 = 830.54 : x
  2. Step 2: Convert to fraction form
    2,062.25/3,094.38 = 830.54/x
  3. Step 3: Cross multiply
    2,062.25x = 3,094.38 × 830.54
  4. Step 4: Simplify right side
    2,062.25x = 2,570,006.37
  5. Step 5: Solve for x
    x = 2,570,006.37/2,062.25
  6. Step 6: Final answer
    x = 1,246.21

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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.