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Finding the Fourth Proportional to 2,033.40, 3,048.60 and 800.19

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Solution

The fourth proportional to 2,033.40, 3,048.60 and 800.19 is: 1,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.40 : 3,048.60 = 800.19 : x
  2. Step 2: Convert to fraction form
    2,033.40/3,048.60 = 800.19/x
  3. Step 3: Cross multiply
    2,033.40x = 3,048.60 × 800.19
  4. Step 4: Simplify right side
    2,033.40x = 2,439,459.23
  5. Step 5: Solve for x
    x = 2,439,459.23/2,033.40
  6. Step 6: Final answer
    x = 1,199.69

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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.