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Finding the Fourth Proportional to 2,294.44, 3,166.50 and 1,363.24

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Solution

The fourth proportional to 2,294.44, 3,166.50 and 1,363.24 is: 1,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.44 : 3,166.50 = 1,363.24 : x
  2. Step 2: Convert to fraction form
    2,294.44/3,166.50 = 1,363.24/x
  3. Step 3: Cross multiply
    2,294.44x = 3,166.50 × 1,363.24
  4. Step 4: Simplify right side
    2,294.44x = 4,316,699.46
  5. Step 5: Solve for x
    x = 4,316,699.46/2,294.44
  6. Step 6: Final answer
    x = 1,881.37

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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.