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Finding the Fourth Proportional to 2,922.31, 4,358.95 and 2,683.49

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Solution

The fourth proportional to 2,922.31, 4,358.95 and 2,683.49 is: 4,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.31 : 4,358.95 = 2,683.49 : x
  2. Step 2: Convert to fraction form
    2,922.31/4,358.95 = 2,683.49/x
  3. Step 3: Cross multiply
    2,922.31x = 4,358.95 × 2,683.49
  4. Step 4: Simplify right side
    2,922.31x = 11,697,198.74
  5. Step 5: Solve for x
    x = 11,697,198.74/2,922.31
  6. Step 6: Final answer
    x = 4,002.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.