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Finding the Fourth Proportional to 2,309.95, 3,188.46 and 2,192.41

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Solution

The fourth proportional to 2,309.95, 3,188.46 and 2,192.41 is: 3,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.95 : 3,188.46 = 2,192.41 : x
  2. Step 2: Convert to fraction form
    2,309.95/3,188.46 = 2,192.41/x
  3. Step 3: Cross multiply
    2,309.95x = 3,188.46 × 2,192.41
  4. Step 4: Simplify right side
    2,309.95x = 6,990,411.59
  5. Step 5: Solve for x
    x = 6,990,411.59/2,309.95
  6. Step 6: Final answer
    x = 3,026.22

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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.