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Finding the Fourth Proportional to 2,065.07, 3,096.17 and 766.19

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Solution

The fourth proportional to 2,065.07, 3,096.17 and 766.19 is: 1,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.07 : 3,096.17 = 766.19 : x
  2. Step 2: Convert to fraction form
    2,065.07/3,096.17 = 766.19/x
  3. Step 3: Cross multiply
    2,065.07x = 3,096.17 × 766.19
  4. Step 4: Simplify right side
    2,065.07x = 2,372,250.66
  5. Step 5: Solve for x
    x = 2,372,250.66/2,065.07
  6. Step 6: Final answer
    x = 1,148.75

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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.