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Finding the Fourth Proportional to 2,012.94, 3,019.31 and 552.10

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Solution

The fourth proportional to 2,012.94, 3,019.31 and 552.10 is: 828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.94 : 3,019.31 = 552.10 : x
  2. Step 2: Convert to fraction form
    2,012.94/3,019.31 = 552.10/x
  3. Step 3: Cross multiply
    2,012.94x = 3,019.31 × 552.10
  4. Step 4: Simplify right side
    2,012.94x = 1,666,961.05
  5. Step 5: Solve for x
    x = 1,666,961.05/2,012.94
  6. Step 6: Final answer
    x = 828.12

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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.