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Finding the Fourth Proportional to 3,072.43, 4,605.15 and 1,316.55

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Solution

The fourth proportional to 3,072.43, 4,605.15 and 1,316.55 is: 1,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.43 : 4,605.15 = 1,316.55 : x
  2. Step 2: Convert to fraction form
    3,072.43/4,605.15 = 1,316.55/x
  3. Step 3: Cross multiply
    3,072.43x = 4,605.15 × 1,316.55
  4. Step 4: Simplify right side
    3,072.43x = 6,062,932.44
  5. Step 5: Solve for x
    x = 6,062,932.44/3,072.43
  6. Step 6: Final answer
    x = 1,973.33

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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.