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Finding the Fourth Proportional to 2,474.06, 3,710.96 and 830.64

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Solution

The fourth proportional to 2,474.06, 3,710.96 and 830.64 is: 1,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.06 : 3,710.96 = 830.64 : x
  2. Step 2: Convert to fraction form
    2,474.06/3,710.96 = 830.64/x
  3. Step 3: Cross multiply
    2,474.06x = 3,710.96 × 830.64
  4. Step 4: Simplify right side
    2,474.06x = 3,082,471.81
  5. Step 5: Solve for x
    x = 3,082,471.81/2,474.06
  6. Step 6: Final answer
    x = 1,245.92

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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.