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Finding the Fourth Proportional to 2,709.88, 4,061.22 and 976.84

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Solution

The fourth proportional to 2,709.88, 4,061.22 and 976.84 is: 1,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.88 : 4,061.22 = 976.84 : x
  2. Step 2: Convert to fraction form
    2,709.88/4,061.22 = 976.84/x
  3. Step 3: Cross multiply
    2,709.88x = 4,061.22 × 976.84
  4. Step 4: Simplify right side
    2,709.88x = 3,967,162.14
  5. Step 5: Solve for x
    x = 3,967,162.14/2,709.88
  6. Step 6: Final answer
    x = 1,463.96

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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.