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Finding the Fourth Proportional to 2,015.46, 3,022.38 and 782.64

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Solution

The fourth proportional to 2,015.46, 3,022.38 and 782.64 is: 1,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.46 : 3,022.38 = 782.64 : x
  2. Step 2: Convert to fraction form
    2,015.46/3,022.38 = 782.64/x
  3. Step 3: Cross multiply
    2,015.46x = 3,022.38 × 782.64
  4. Step 4: Simplify right side
    2,015.46x = 2,365,435.48
  5. Step 5: Solve for x
    x = 2,365,435.48/2,015.46
  6. Step 6: Final answer
    x = 1,173.65

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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.