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Finding the Fourth Proportional to 2,756.49, 4,129.73 and 2,461.25

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Solution

The fourth proportional to 2,756.49, 4,129.73 and 2,461.25 is: 3,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.49 : 4,129.73 = 2,461.25 : x
  2. Step 2: Convert to fraction form
    2,756.49/4,129.73 = 2,461.25/x
  3. Step 3: Cross multiply
    2,756.49x = 4,129.73 × 2,461.25
  4. Step 4: Simplify right side
    2,756.49x = 10,164,297.96
  5. Step 5: Solve for x
    x = 10,164,297.96/2,756.49
  6. Step 6: Final answer
    x = 3,687.41

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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.