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Finding the Fourth Proportional to 2,290.03, 3,434.73 and 829.06

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Solution

The fourth proportional to 2,290.03, 3,434.73 and 829.06 is: 1,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.03 : 3,434.73 = 829.06 : x
  2. Step 2: Convert to fraction form
    2,290.03/3,434.73 = 829.06/x
  3. Step 3: Cross multiply
    2,290.03x = 3,434.73 × 829.06
  4. Step 4: Simplify right side
    2,290.03x = 2,847,597.25
  5. Step 5: Solve for x
    x = 2,847,597.25/2,290.03
  6. Step 6: Final answer
    x = 1,243.48

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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.