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Finding the Fourth Proportional to 2,076.89, 3,113.63 and 967.00

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Solution

The fourth proportional to 2,076.89, 3,113.63 and 967.00 is: 1,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.89 : 3,113.63 = 967.00 : x
  2. Step 2: Convert to fraction form
    2,076.89/3,113.63 = 967.00/x
  3. Step 3: Cross multiply
    2,076.89x = 3,113.63 × 967.00
  4. Step 4: Simplify right side
    2,076.89x = 3,010,874.84
  5. Step 5: Solve for x
    x = 3,010,874.84/2,076.89
  6. Step 6: Final answer
    x = 1,449.71

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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.