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Finding the Fourth Proportional to 2,367.44, 3,267.17 and 1,319.50

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Solution

The fourth proportional to 2,367.44, 3,267.17 and 1,319.50 is: 1,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.44 : 3,267.17 = 1,319.50 : x
  2. Step 2: Convert to fraction form
    2,367.44/3,267.17 = 1,319.50/x
  3. Step 3: Cross multiply
    2,367.44x = 3,267.17 × 1,319.50
  4. Step 4: Simplify right side
    2,367.44x = 4,311,030.82
  5. Step 5: Solve for x
    x = 4,311,030.82/2,367.44
  6. Step 6: Final answer
    x = 1,820.97

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1.5x scale

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.