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Finding the Fourth Proportional to 2,474.79, 3,711.15 and 830.94

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Solution

The fourth proportional to 2,474.79, 3,711.15 and 830.94 is: 1,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.79 : 3,711.15 = 830.94 : x
  2. Step 2: Convert to fraction form
    2,474.79/3,711.15 = 830.94/x
  3. Step 3: Cross multiply
    2,474.79x = 3,711.15 × 830.94
  4. Step 4: Simplify right side
    2,474.79x = 3,083,742.98
  5. Step 5: Solve for x
    x = 3,083,742.98/2,474.79
  6. Step 6: Final answer
    x = 1,246.06

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Why These Related Problems?

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