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Finding the Fourth Proportional to 2,937.70, 4,406.91 and 1,294.66

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Solution

The fourth proportional to 2,937.70, 4,406.91 and 1,294.66 is: 1,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.70 : 4,406.91 = 1,294.66 : x
  2. Step 2: Convert to fraction form
    2,937.70/4,406.91 = 1,294.66/x
  3. Step 3: Cross multiply
    2,937.70x = 4,406.91 × 1,294.66
  4. Step 4: Simplify right side
    2,937.70x = 5,705,450.10
  5. Step 5: Solve for x
    x = 5,705,450.10/2,937.70
  6. Step 6: Final answer
    x = 1,942.15

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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.