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Finding the Fourth Proportional to 2,971.80, 4,460.44 and 1,512

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Solution

The fourth proportional to 2,971.80, 4,460.44 and 1,512 is: 2,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.80 : 4,460.44 = 1,512 : x
  2. Step 2: Convert to fraction form
    2,971.80/4,460.44 = 1,512/x
  3. Step 3: Cross multiply
    2,971.80x = 4,460.44 × 1,512
  4. Step 4: Simplify right side
    2,971.80x = 6,744,185.28
  5. Step 5: Solve for x
    x = 6,744,185.28/2,971.80
  6. Step 6: Final answer
    x = 2,269.39

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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.