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Finding the Fourth Proportional to 1,772.62, 2,446.07 and 986.72

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Solution

The fourth proportional to 1,772.62, 2,446.07 and 986.72 is: 1,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.62 : 2,446.07 = 986.72 : x
  2. Step 2: Convert to fraction form
    1,772.62/2,446.07 = 986.72/x
  3. Step 3: Cross multiply
    1,772.62x = 2,446.07 × 986.72
  4. Step 4: Simplify right side
    1,772.62x = 2,413,569.03
  5. Step 5: Solve for x
    x = 2,413,569.03/1,772.62
  6. Step 6: Final answer
    x = 1,361.58

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Why These Related Problems?

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