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Finding the Fourth Proportional to 2,290.47, 3,433.57 and 829.28

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Solution

The fourth proportional to 2,290.47, 3,433.57 and 829.28 is: 1,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.47 : 3,433.57 = 829.28 : x
  2. Step 2: Convert to fraction form
    2,290.47/3,433.57 = 829.28/x
  3. Step 3: Cross multiply
    2,290.47x = 3,433.57 × 829.28
  4. Step 4: Simplify right side
    2,290.47x = 2,847,390.93
  5. Step 5: Solve for x
    x = 2,847,390.93/2,290.47
  6. Step 6: Final answer
    x = 1,243.15

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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.