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Finding the Fourth Proportional to 1,772.24, 2,445.80 and 986.27

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Solution

The fourth proportional to 1,772.24, 2,445.80 and 986.27 is: 1,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.24 : 2,445.80 = 986.27 : x
  2. Step 2: Convert to fraction form
    1,772.24/2,445.80 = 986.27/x
  3. Step 3: Cross multiply
    1,772.24x = 2,445.80 × 986.27
  4. Step 4: Simplify right side
    1,772.24x = 2,412,202.01
  5. Step 5: Solve for x
    x = 2,412,202.01/1,772.24
  6. Step 6: Final answer
    x = 1,361.11

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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.