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Finding the Fourth Proportional to 2,065.64, 3,098.22 and 766.76

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Solution

The fourth proportional to 2,065.64, 3,098.22 and 766.76 is: 1,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.64 : 3,098.22 = 766.76 : x
  2. Step 2: Convert to fraction form
    2,065.64/3,098.22 = 766.76/x
  3. Step 3: Cross multiply
    2,065.64x = 3,098.22 × 766.76
  4. Step 4: Simplify right side
    2,065.64x = 2,375,591.17
  5. Step 5: Solve for x
    x = 2,375,591.17/2,065.64
  6. Step 6: Final answer
    x = 1,150.05

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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.