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Finding the Fourth Proportional to 3,192.93, 4,406.13 and 1,867.50

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Solution

The fourth proportional to 3,192.93, 4,406.13 and 1,867.50 is: 2,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.93 : 4,406.13 = 1,867.50 : x
  2. Step 2: Convert to fraction form
    3,192.93/4,406.13 = 1,867.50/x
  3. Step 3: Cross multiply
    3,192.93x = 4,406.13 × 1,867.50
  4. Step 4: Simplify right side
    3,192.93x = 8,228,447.78
  5. Step 5: Solve for x
    x = 8,228,447.78/3,192.93
  6. Step 6: Final answer
    x = 2,577.08

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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.