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Finding the Fourth Proportional to 1,615.82, 2,230.01 and 986.72

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Solution

The fourth proportional to 1,615.82, 2,230.01 and 986.72 is: 1,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.82 : 2,230.01 = 986.72 : x
  2. Step 2: Convert to fraction form
    1,615.82/2,230.01 = 986.72/x
  3. Step 3: Cross multiply
    1,615.82x = 2,230.01 × 986.72
  4. Step 4: Simplify right side
    1,615.82x = 2,200,395.47
  5. Step 5: Solve for x
    x = 2,200,395.47/1,615.82
  6. Step 6: Final answer
    x = 1,361.78

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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.