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Finding the Fourth Proportional to 2,145.64, 2,959.86 and 1,447.24

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Solution

The fourth proportional to 2,145.64, 2,959.86 and 1,447.24 is: 1,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.64 : 2,959.86 = 1,447.24 : x
  2. Step 2: Convert to fraction form
    2,145.64/2,959.86 = 1,447.24/x
  3. Step 3: Cross multiply
    2,145.64x = 2,959.86 × 1,447.24
  4. Step 4: Simplify right side
    2,145.64x = 4,283,627.79
  5. Step 5: Solve for x
    x = 4,283,627.79/2,145.64
  6. Step 6: Final answer
    x = 1,996.43

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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.