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Finding the Fourth Proportional to 2,975.36, 4,463.15 and 2,283.29

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Solution

The fourth proportional to 2,975.36, 4,463.15 and 2,283.29 is: 3,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.36 : 4,463.15 = 2,283.29 : x
  2. Step 2: Convert to fraction form
    2,975.36/4,463.15 = 2,283.29/x
  3. Step 3: Cross multiply
    2,975.36x = 4,463.15 × 2,283.29
  4. Step 4: Simplify right side
    2,975.36x = 10,190,654.35
  5. Step 5: Solve for x
    x = 10,190,654.35/2,975.36
  6. Step 6: Final answer
    x = 3,425.02

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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.