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Finding the Fourth Proportional to 2,367.42, 3,267.05 and 1,319.48

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Solution

The fourth proportional to 2,367.42, 3,267.05 and 1,319.48 is: 1,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.42 : 3,267.05 = 1,319.48 : x
  2. Step 2: Convert to fraction form
    2,367.42/3,267.05 = 1,319.48/x
  3. Step 3: Cross multiply
    2,367.42x = 3,267.05 × 1,319.48
  4. Step 4: Simplify right side
    2,367.42x = 4,310,807.13
  5. Step 5: Solve for x
    x = 4,310,807.13/2,367.42
  6. Step 6: Final answer
    x = 1,820.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.