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Finding the Fourth Proportional to 2,019.41, 2,784.63 and 1,599.08

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Solution

The fourth proportional to 2,019.41, 2,784.63 and 1,599.08 is: 2,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.41 : 2,784.63 = 1,599.08 : x
  2. Step 2: Convert to fraction form
    2,019.41/2,784.63 = 1,599.08/x
  3. Step 3: Cross multiply
    2,019.41x = 2,784.63 × 1,599.08
  4. Step 4: Simplify right side
    2,019.41x = 4,452,846.14
  5. Step 5: Solve for x
    x = 4,452,846.14/2,019.41
  6. Step 6: Final answer
    x = 2,205.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.