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Finding the Fourth Proportional to 2,367.63, 3,267.35 and 1,319.71

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Solution

The fourth proportional to 2,367.63, 3,267.35 and 1,319.71 is: 1,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.63 : 3,267.35 = 1,319.71 : x
  2. Step 2: Convert to fraction form
    2,367.63/3,267.35 = 1,319.71/x
  3. Step 3: Cross multiply
    2,367.63x = 3,267.35 × 1,319.71
  4. Step 4: Simplify right side
    2,367.63x = 4,311,954.47
  5. Step 5: Solve for x
    x = 4,311,954.47/2,367.63
  6. Step 6: Final answer
    x = 1,821.21

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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.