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Finding the Fourth Proportional to 1,341.14, 2,012 and 610.82

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Solution

The fourth proportional to 1,341.14, 2,012 and 610.82 is: 916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.14 : 2,012 = 610.82 : x
  2. Step 2: Convert to fraction form
    1,341.14/2,012 = 610.82/x
  3. Step 3: Cross multiply
    1,341.14x = 2,012 × 610.82
  4. Step 4: Simplify right side
    1,341.14x = 1,228,969.84
  5. Step 5: Solve for x
    x = 1,228,969.84/1,341.14
  6. Step 6: Final answer
    x = 916.36

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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.