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Finding the Fourth Proportional to 2,367.02, 3,266.49 and 1,319.12

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Solution

The fourth proportional to 2,367.02, 3,266.49 and 1,319.12 is: 1,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.02 : 3,266.49 = 1,319.12 : x
  2. Step 2: Convert to fraction form
    2,367.02/3,266.49 = 1,319.12/x
  3. Step 3: Cross multiply
    2,367.02x = 3,266.49 × 1,319.12
  4. Step 4: Simplify right side
    2,367.02x = 4,308,892.29
  5. Step 5: Solve for x
    x = 4,308,892.29/2,367.02
  6. Step 6: Final answer
    x = 1,820.39

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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.