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Finding the Fourth Proportional to 2,144.89, 2,959.48 and 1,358.48

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Solution

The fourth proportional to 2,144.89, 2,959.48 and 1,358.48 is: 1,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.89 : 2,959.48 = 1,358.48 : x
  2. Step 2: Convert to fraction form
    2,144.89/2,959.48 = 1,358.48/x
  3. Step 3: Cross multiply
    2,144.89x = 2,959.48 × 1,358.48
  4. Step 4: Simplify right side
    2,144.89x = 4,020,394.39
  5. Step 5: Solve for x
    x = 4,020,394.39/2,144.89
  6. Step 6: Final answer
    x = 1,874.41

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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.