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Finding the Fourth Proportional to 2,142.75, 2,957.00 and 1,211.43

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Solution

The fourth proportional to 2,142.75, 2,957.00 and 1,211.43 is: 1,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.75 : 2,957.00 = 1,211.43 : x
  2. Step 2: Convert to fraction form
    2,142.75/2,957.00 = 1,211.43/x
  3. Step 3: Cross multiply
    2,142.75x = 2,957.00 × 1,211.43
  4. Step 4: Simplify right side
    2,142.75x = 3,582,192.45
  5. Step 5: Solve for x
    x = 3,582,192.45/2,142.75
  6. Step 6: Final answer
    x = 1,671.77

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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.