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Finding the Fourth Proportional to 2,014.51, 3,021.31 and 919.19

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Solution

The fourth proportional to 2,014.51, 3,021.31 and 919.19 is: 1,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.51 : 3,021.31 = 919.19 : x
  2. Step 2: Convert to fraction form
    2,014.51/3,021.31 = 919.19/x
  3. Step 3: Cross multiply
    2,014.51x = 3,021.31 × 919.19
  4. Step 4: Simplify right side
    2,014.51x = 2,777,157.94
  5. Step 5: Solve for x
    x = 2,777,157.94/2,014.51
  6. Step 6: Final answer
    x = 1,378.58

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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.