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Finding the Fourth Proportional to 2,146.92, 2,962.62 and 1,361.22

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Solution

The fourth proportional to 2,146.92, 2,962.62 and 1,361.22 is: 1,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.92 : 2,962.62 = 1,361.22 : x
  2. Step 2: Convert to fraction form
    2,146.92/2,962.62 = 1,361.22/x
  3. Step 3: Cross multiply
    2,146.92x = 2,962.62 × 1,361.22
  4. Step 4: Simplify right side
    2,146.92x = 4,032,777.60
  5. Step 5: Solve for x
    x = 4,032,777.60/2,146.92
  6. Step 6: Final answer
    x = 1,878.40

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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.