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Finding the Fourth Proportional to 2,144.70, 2,959.47 and 1,200.43

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Solution

The fourth proportional to 2,144.70, 2,959.47 and 1,200.43 is: 1,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.70 : 2,959.47 = 1,200.43 : x
  2. Step 2: Convert to fraction form
    2,144.70/2,959.47 = 1,200.43/x
  3. Step 3: Cross multiply
    2,144.70x = 2,959.47 × 1,200.43
  4. Step 4: Simplify right side
    2,144.70x = 3,552,636.57
  5. Step 5: Solve for x
    x = 3,552,636.57/2,144.70
  6. Step 6: Final answer
    x = 1,656.47

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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.