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Finding the Fourth Proportional to 2,326.21, 3,489.83 and 766.70

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Solution

The fourth proportional to 2,326.21, 3,489.83 and 766.70 is: 1,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.21 : 3,489.83 = 766.70 : x
  2. Step 2: Convert to fraction form
    2,326.21/3,489.83 = 766.70/x
  3. Step 3: Cross multiply
    2,326.21x = 3,489.83 × 766.70
  4. Step 4: Simplify right side
    2,326.21x = 2,675,635.21
  5. Step 5: Solve for x
    x = 2,675,635.21/2,326.21
  6. Step 6: Final answer
    x = 1,150.21

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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.