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Finding the Fourth Proportional to 2,846.48, 4,270.30 and 1,203.03

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Solution

The fourth proportional to 2,846.48, 4,270.30 and 1,203.03 is: 1,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.48 : 4,270.30 = 1,203.03 : x
  2. Step 2: Convert to fraction form
    2,846.48/4,270.30 = 1,203.03/x
  3. Step 3: Cross multiply
    2,846.48x = 4,270.30 × 1,203.03
  4. Step 4: Simplify right side
    2,846.48x = 5,137,296.00
  5. Step 5: Solve for x
    x = 5,137,296.00/2,846.48
  6. Step 6: Final answer
    x = 1,804.79

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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.