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Finding the Fourth Proportional to 2,294.72, 3,166.88 and 1,363.20

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Solution

The fourth proportional to 2,294.72, 3,166.88 and 1,363.20 is: 1,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.72 : 3,166.88 = 1,363.20 : x
  2. Step 2: Convert to fraction form
    2,294.72/3,166.88 = 1,363.20/x
  3. Step 3: Cross multiply
    2,294.72x = 3,166.88 × 1,363.20
  4. Step 4: Simplify right side
    2,294.72x = 4,317,090.82
  5. Step 5: Solve for x
    x = 4,317,090.82/2,294.72
  6. Step 6: Final answer
    x = 1,881.31

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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.