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Finding the Fourth Proportional to 2,146.90, 2,963.02 and 1,361.02

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Solution

The fourth proportional to 2,146.90, 2,963.02 and 1,361.02 is: 1,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.90 : 2,963.02 = 1,361.02 : x
  2. Step 2: Convert to fraction form
    2,146.90/2,963.02 = 1,361.02/x
  3. Step 3: Cross multiply
    2,146.90x = 2,963.02 × 1,361.02
  4. Step 4: Simplify right side
    2,146.90x = 4,032,729.48
  5. Step 5: Solve for x
    x = 4,032,729.48/2,146.90
  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.