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Finding the Fourth Proportional to 2,940.74, 4,059.55 and 1,823.21

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Solution

The fourth proportional to 2,940.74, 4,059.55 and 1,823.21 is: 2,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.74 : 4,059.55 = 1,823.21 : x
  2. Step 2: Convert to fraction form
    2,940.74/4,059.55 = 1,823.21/x
  3. Step 3: Cross multiply
    2,940.74x = 4,059.55 × 1,823.21
  4. Step 4: Simplify right side
    2,940.74x = 7,401,412.16
  5. Step 5: Solve for x
    x = 7,401,412.16/2,940.74
  6. Step 6: Final answer
    x = 2,516.85

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Why These Related Problems?

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