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Finding the Fourth Proportional to 3,192.81, 4,404.93 and 1,866.33

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Solution

The fourth proportional to 3,192.81, 4,404.93 and 1,866.33 is: 2,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.81 : 4,404.93 = 1,866.33 : x
  2. Step 2: Convert to fraction form
    3,192.81/4,404.93 = 1,866.33/x
  3. Step 3: Cross multiply
    3,192.81x = 4,404.93 × 1,866.33
  4. Step 4: Simplify right side
    3,192.81x = 8,221,053.01
  5. Step 5: Solve for x
    x = 8,221,053.01/3,192.81
  6. Step 6: Final answer
    x = 2,574.86

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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.