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Finding the Fourth Proportional to 3,140.41, 4,709.17 and 948.73

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Solution

The fourth proportional to 3,140.41, 4,709.17 and 948.73 is: 1,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.41 : 4,709.17 = 948.73 : x
  2. Step 2: Convert to fraction form
    3,140.41/4,709.17 = 948.73/x
  3. Step 3: Cross multiply
    3,140.41x = 4,709.17 × 948.73
  4. Step 4: Simplify right side
    3,140.41x = 4,467,730.85
  5. Step 5: Solve for x
    x = 4,467,730.85/3,140.41
  6. Step 6: Final answer
    x = 1,422.66

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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.