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Finding the Fourth Proportional to 2,142.64, 2,955.72 and 1,444.24

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Solution

The fourth proportional to 2,142.64, 2,955.72 and 1,444.24 is: 1,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.64 : 2,955.72 = 1,444.24 : x
  2. Step 2: Convert to fraction form
    2,142.64/2,955.72 = 1,444.24/x
  3. Step 3: Cross multiply
    2,142.64x = 2,955.72 × 1,444.24
  4. Step 4: Simplify right side
    2,142.64x = 4,268,769.05
  5. Step 5: Solve for x
    x = 4,268,769.05/2,142.64
  6. Step 6: Final answer
    x = 1,992.29

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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.