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Finding the Fourth Proportional to 2,843.04, 3,923.40 and 1,663.89

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Solution

The fourth proportional to 2,843.04, 3,923.40 and 1,663.89 is: 2,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.04 : 3,923.40 = 1,663.89 : x
  2. Step 2: Convert to fraction form
    2,843.04/3,923.40 = 1,663.89/x
  3. Step 3: Cross multiply
    2,843.04x = 3,923.40 × 1,663.89
  4. Step 4: Simplify right side
    2,843.04x = 6,528,106.03
  5. Step 5: Solve for x
    x = 6,528,106.03/2,843.04
  6. Step 6: Final answer
    x = 2,296.17

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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.