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Finding the Fourth Proportional to 2,372.45, 3,559.23 and 986.13

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Solution

The fourth proportional to 2,372.45, 3,559.23 and 986.13 is: 1,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.45 : 3,559.23 = 986.13 : x
  2. Step 2: Convert to fraction form
    2,372.45/3,559.23 = 986.13/x
  3. Step 3: Cross multiply
    2,372.45x = 3,559.23 × 986.13
  4. Step 4: Simplify right side
    2,372.45x = 3,509,863.48
  5. Step 5: Solve for x
    x = 3,509,863.48/2,372.45
  6. Step 6: Final answer
    x = 1,479.43

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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.