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Finding the Fourth Proportional to 2,302.42, 3,453.48 and 986.17

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Solution

The fourth proportional to 2,302.42, 3,453.48 and 986.17 is: 1,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.42 : 3,453.48 = 986.17 : x
  2. Step 2: Convert to fraction form
    2,302.42/3,453.48 = 986.17/x
  3. Step 3: Cross multiply
    2,302.42x = 3,453.48 × 986.17
  4. Step 4: Simplify right side
    2,302.42x = 3,405,713.44
  5. Step 5: Solve for x
    x = 3,405,713.44/2,302.42
  6. Step 6: Final answer
    x = 1,479.19

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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.