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Finding the Fourth Proportional to 3,192.42, 4,405.66 and 1,865.90

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Solution

The fourth proportional to 3,192.42, 4,405.66 and 1,865.90 is: 2,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.42 : 4,405.66 = 1,865.90 : x
  2. Step 2: Convert to fraction form
    3,192.42/4,405.66 = 1,865.90/x
  3. Step 3: Cross multiply
    3,192.42x = 4,405.66 × 1,865.90
  4. Step 4: Simplify right side
    3,192.42x = 8,220,520.99
  5. Step 5: Solve for x
    x = 8,220,520.99/3,192.42
  6. Step 6: Final answer
    x = 2,575.01

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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.