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Finding the Fourth Proportional to 2,943.99, 4,061.97 and 2,156.67

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Solution

The fourth proportional to 2,943.99, 4,061.97 and 2,156.67 is: 2,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.99 : 4,061.97 = 2,156.67 : x
  2. Step 2: Convert to fraction form
    2,943.99/4,061.97 = 2,156.67/x
  3. Step 3: Cross multiply
    2,943.99x = 4,061.97 × 2,156.67
  4. Step 4: Simplify right side
    2,943.99x = 8,760,328.84
  5. Step 5: Solve for x
    x = 8,760,328.84/2,943.99
  6. Step 6: Final answer
    x = 2,975.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.