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Finding the Fourth Proportional to 2,367.01, 3,266.49 and 1,319.14

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Solution

The fourth proportional to 2,367.01, 3,266.49 and 1,319.14 is: 1,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.01 : 3,266.49 = 1,319.14 : x
  2. Step 2: Convert to fraction form
    2,367.01/3,266.49 = 1,319.14/x
  3. Step 3: Cross multiply
    2,367.01x = 3,266.49 × 1,319.14
  4. Step 4: Simplify right side
    2,367.01x = 4,308,957.62
  5. Step 5: Solve for x
    x = 4,308,957.62/2,367.01
  6. Step 6: Final answer
    x = 1,820.42

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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.