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Finding the Fourth Proportional to 2,051.28, 2,824.20 and 1,659.60

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Solution

The fourth proportional to 2,051.28, 2,824.20 and 1,659.60 is: 2,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.28 : 2,824.20 = 1,659.60 : x
  2. Step 2: Convert to fraction form
    2,051.28/2,824.20 = 1,659.60/x
  3. Step 3: Cross multiply
    2,051.28x = 2,824.20 × 1,659.60
  4. Step 4: Simplify right side
    2,051.28x = 4,687,042.32
  5. Step 5: Solve for x
    x = 4,687,042.32/2,051.28
  6. Step 6: Final answer
    x = 2,284.94

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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.