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Finding the Fourth Proportional to 2,015.84, 3,024.30 and 845.22

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Solution

The fourth proportional to 2,015.84, 3,024.30 and 845.22 is: 1,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.84 : 3,024.30 = 845.22 : x
  2. Step 2: Convert to fraction form
    2,015.84/3,024.30 = 845.22/x
  3. Step 3: Cross multiply
    2,015.84x = 3,024.30 × 845.22
  4. Step 4: Simplify right side
    2,015.84x = 2,556,213.36
  5. Step 5: Solve for x
    x = 2,556,213.36/2,015.84
  6. Step 6: Final answer
    x = 1,268.06

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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.