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Finding the Fourth Proportional to 3,192.94, 4,405.59 and 1,866.38

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Solution

The fourth proportional to 3,192.94, 4,405.59 and 1,866.38 is: 2,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.94 : 4,405.59 = 1,866.38 : x
  2. Step 2: Convert to fraction form
    3,192.94/4,405.59 = 1,866.38/x
  3. Step 3: Cross multiply
    3,192.94x = 4,405.59 × 1,866.38
  4. Step 4: Simplify right side
    3,192.94x = 8,222,525.08
  5. Step 5: Solve for x
    x = 8,222,525.08/3,192.94
  6. Step 6: Final answer
    x = 2,575.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.