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Finding the Fourth Proportional to 2,980.94, 4,472.82 and 1,337.96

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Solution

The fourth proportional to 2,980.94, 4,472.82 and 1,337.96 is: 2,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.94 : 4,472.82 = 1,337.96 : x
  2. Step 2: Convert to fraction form
    2,980.94/4,472.82 = 1,337.96/x
  3. Step 3: Cross multiply
    2,980.94x = 4,472.82 × 1,337.96
  4. Step 4: Simplify right side
    2,980.94x = 5,984,454.25
  5. Step 5: Solve for x
    x = 5,984,454.25/2,980.94
  6. Step 6: Final answer
    x = 2,007.57

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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.