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Finding the Fourth Proportional to 2,142.99, 2,957.33 and 1,211.49

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Solution

The fourth proportional to 2,142.99, 2,957.33 and 1,211.49 is: 1,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.99 : 2,957.33 = 1,211.49 : x
  2. Step 2: Convert to fraction form
    2,142.99/2,957.33 = 1,211.49/x
  3. Step 3: Cross multiply
    2,142.99x = 2,957.33 × 1,211.49
  4. Step 4: Simplify right side
    2,142.99x = 3,582,769.66
  5. Step 5: Solve for x
    x = 3,582,769.66/2,142.99
  6. Step 6: Final answer
    x = 1,671.86

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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.