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Finding the Fourth Proportional to 2,757.63, 4,136.51 and 705.63

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Solution

The fourth proportional to 2,757.63, 4,136.51 and 705.63 is: 1,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.63 : 4,136.51 = 705.63 : x
  2. Step 2: Convert to fraction form
    2,757.63/4,136.51 = 705.63/x
  3. Step 3: Cross multiply
    2,757.63x = 4,136.51 × 705.63
  4. Step 4: Simplify right side
    2,757.63x = 2,918,845.55
  5. Step 5: Solve for x
    x = 2,918,845.55/2,757.63
  6. Step 6: Final answer
    x = 1,058.46

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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.