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Finding the Fourth Proportional to 1,241.82, 1,712.16 and 946.62

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Solution

The fourth proportional to 1,241.82, 1,712.16 and 946.62 is: 1,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.82 : 1,712.16 = 946.62 : x
  2. Step 2: Convert to fraction form
    1,241.82/1,712.16 = 946.62/x
  3. Step 3: Cross multiply
    1,241.82x = 1,712.16 × 946.62
  4. Step 4: Simplify right side
    1,241.82x = 1,620,764.90
  5. Step 5: Solve for x
    x = 1,620,764.90/1,241.82
  6. Step 6: Final answer
    x = 1,305.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.