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Finding the Fourth Proportional to 2,014.96, 3,019.84 and 919.32

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Solution

The fourth proportional to 2,014.96, 3,019.84 and 919.32 is: 1,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.96 : 3,019.84 = 919.32 : x
  2. Step 2: Convert to fraction form
    2,014.96/3,019.84 = 919.32/x
  3. Step 3: Cross multiply
    2,014.96x = 3,019.84 × 919.32
  4. Step 4: Simplify right side
    2,014.96x = 2,776,199.31
  5. Step 5: Solve for x
    x = 2,776,199.31/2,014.96
  6. Step 6: Final answer
    x = 1,377.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.