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Finding the Fourth Proportional to 3,106.90, 4,660.21 and 766.79

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Solution

The fourth proportional to 3,106.90, 4,660.21 and 766.79 is: 1,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.90 : 4,660.21 = 766.79 : x
  2. Step 2: Convert to fraction form
    3,106.90/4,660.21 = 766.79/x
  3. Step 3: Cross multiply
    3,106.90x = 4,660.21 × 766.79
  4. Step 4: Simplify right side
    3,106.90x = 3,573,402.43
  5. Step 5: Solve for x
    x = 3,573,402.43/3,106.90
  6. Step 6: Final answer
    x = 1,150.15

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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.