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Finding the Fourth Proportional to 2,144.06, 2,957.93 and 1,304.09

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Solution

The fourth proportional to 2,144.06, 2,957.93 and 1,304.09 is: 1,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.06 : 2,957.93 = 1,304.09 : x
  2. Step 2: Convert to fraction form
    2,144.06/2,957.93 = 1,304.09/x
  3. Step 3: Cross multiply
    2,144.06x = 2,957.93 × 1,304.09
  4. Step 4: Simplify right side
    2,144.06x = 3,857,406.93
  5. Step 5: Solve for x
    x = 3,857,406.93/2,144.06
  6. Step 6: Final answer
    x = 1,799.11

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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.