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Finding the Fourth Proportional to 3,294.66, 4,941.63 and 1,650.90

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Solution

The fourth proportional to 3,294.66, 4,941.63 and 1,650.90 is: 2,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.66 : 4,941.63 = 1,650.90 : x
  2. Step 2: Convert to fraction form
    3,294.66/4,941.63 = 1,650.90/x
  3. Step 3: Cross multiply
    3,294.66x = 4,941.63 × 1,650.90
  4. Step 4: Simplify right side
    3,294.66x = 8,158,136.97
  5. Step 5: Solve for x
    x = 8,158,136.97/3,294.66
  6. Step 6: Final answer
    x = 2,476.17

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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.