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Finding the Fourth Proportional to 3,139.32, 4,709.01 and 830.82

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Solution

The fourth proportional to 3,139.32, 4,709.01 and 830.82 is: 1,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.32 : 4,709.01 = 830.82 : x
  2. Step 2: Convert to fraction form
    3,139.32/4,709.01 = 830.82/x
  3. Step 3: Cross multiply
    3,139.32x = 4,709.01 × 830.82
  4. Step 4: Simplify right side
    3,139.32x = 3,912,339.69
  5. Step 5: Solve for x
    x = 3,912,339.69/3,139.32
  6. Step 6: Final answer
    x = 1,246.24

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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.