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Finding the Fourth Proportional to 1,881.82, 2,822.73 and 1,804.06

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Solution

The fourth proportional to 1,881.82, 2,822.73 and 1,804.06 is: 2,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.82 : 2,822.73 = 1,804.06 : x
  2. Step 2: Convert to fraction form
    1,881.82/2,822.73 = 1,804.06/x
  3. Step 3: Cross multiply
    1,881.82x = 2,822.73 × 1,804.06
  4. Step 4: Simplify right side
    1,881.82x = 5,092,374.28
  5. Step 5: Solve for x
    x = 5,092,374.28/1,881.82
  6. Step 6: Final answer
    x = 2,706.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.