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Finding the Fourth Proportional to 2,076.95, 3,113.87 and 906.73

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Solution

The fourth proportional to 2,076.95, 3,113.87 and 906.73 is: 1,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.95 : 3,113.87 = 906.73 : x
  2. Step 2: Convert to fraction form
    2,076.95/3,113.87 = 906.73/x
  3. Step 3: Cross multiply
    2,076.95x = 3,113.87 × 906.73
  4. Step 4: Simplify right side
    2,076.95x = 2,823,423.78
  5. Step 5: Solve for x
    x = 2,823,423.78/2,076.95
  6. Step 6: Final answer
    x = 1,359.41

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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.