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Finding the Fourth Proportional to 6,980.85, 10,472.57 and 2,301.19

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Solution

The fourth proportional to 6,980.85, 10,472.57 and 2,301.19 is: 3,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.85 : 10,472.57 = 2,301.19 : x
  2. Step 2: Convert to fraction form
    6,980.85/10,472.57 = 2,301.19/x
  3. Step 3: Cross multiply
    6,980.85x = 10,472.57 × 2,301.19
  4. Step 4: Simplify right side
    6,980.85x = 24,099,315.24
  5. Step 5: Solve for x
    x = 24,099,315.24/6,980.85
  6. Step 6: Final answer
    x = 3,452.20

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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.