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Finding the Fourth Proportional to 2,309.34, 3,463.20 and 1,846.02

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Solution

The fourth proportional to 2,309.34, 3,463.20 and 1,846.02 is: 2,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.34 : 3,463.20 = 1,846.02 : x
  2. Step 2: Convert to fraction form
    2,309.34/3,463.20 = 1,846.02/x
  3. Step 3: Cross multiply
    2,309.34x = 3,463.20 × 1,846.02
  4. Step 4: Simplify right side
    2,309.34x = 6,393,136.46
  5. Step 5: Solve for x
    x = 6,393,136.46/2,309.34
  6. Step 6: Final answer
    x = 2,768.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.