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Finding the Fourth Proportional to 2,014.09, 3,019.45 and 1,399

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Solution

The fourth proportional to 2,014.09, 3,019.45 and 1,399 is: 2,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.09 : 3,019.45 = 1,399 : x
  2. Step 2: Convert to fraction form
    2,014.09/3,019.45 = 1,399/x
  3. Step 3: Cross multiply
    2,014.09x = 3,019.45 × 1,399
  4. Step 4: Simplify right side
    2,014.09x = 4,224,210.55
  5. Step 5: Solve for x
    x = 4,224,210.55/2,014.09
  6. Step 6: Final answer
    x = 2,097.33

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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.