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Finding the Fourth Proportional to 2,144.52, 2,959.56 and 1,619.64

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Solution

The fourth proportional to 2,144.52, 2,959.56 and 1,619.64 is: 2,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.52 : 2,959.56 = 1,619.64 : x
  2. Step 2: Convert to fraction form
    2,144.52/2,959.56 = 1,619.64/x
  3. Step 3: Cross multiply
    2,144.52x = 2,959.56 × 1,619.64
  4. Step 4: Simplify right side
    2,144.52x = 4,793,421.76
  5. Step 5: Solve for x
    x = 4,793,421.76/2,144.52
  6. Step 6: Final answer
    x = 2,235.20

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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.