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Finding the Fourth Proportional to 3,038.73, 4,194.87 and 2,292.99

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Solution

The fourth proportional to 3,038.73, 4,194.87 and 2,292.99 is: 3,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.73 : 4,194.87 = 2,292.99 : x
  2. Step 2: Convert to fraction form
    3,038.73/4,194.87 = 2,292.99/x
  3. Step 3: Cross multiply
    3,038.73x = 4,194.87 × 2,292.99
  4. Step 4: Simplify right side
    3,038.73x = 9,618,794.96
  5. Step 5: Solve for x
    x = 9,618,794.96/3,038.73
  6. Step 6: Final answer
    x = 3,165.40

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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.