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Finding the Fourth Proportional to 2,147.64, 2,961.93 and 1,361.52

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Solution

The fourth proportional to 2,147.64, 2,961.93 and 1,361.52 is: 1,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.64 : 2,961.93 = 1,361.52 : x
  2. Step 2: Convert to fraction form
    2,147.64/2,961.93 = 1,361.52/x
  3. Step 3: Cross multiply
    2,147.64x = 2,961.93 × 1,361.52
  4. Step 4: Simplify right side
    2,147.64x = 4,032,726.93
  5. Step 5: Solve for x
    x = 4,032,726.93/2,147.64
  6. Step 6: Final answer
    x = 1,877.75

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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.