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Finding the Fourth Proportional to 2,267.53, 3,400.65 and 806.49

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Solution

The fourth proportional to 2,267.53, 3,400.65 and 806.49 is: 1,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.53 : 3,400.65 = 806.49 : x
  2. Step 2: Convert to fraction form
    2,267.53/3,400.65 = 806.49/x
  3. Step 3: Cross multiply
    2,267.53x = 3,400.65 × 806.49
  4. Step 4: Simplify right side
    2,267.53x = 2,742,590.22
  5. Step 5: Solve for x
    x = 2,742,590.22/2,267.53
  6. Step 6: Final answer
    x = 1,209.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.