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Finding the Fourth Proportional to 2,506.34, 3,755.36 and 1,772.28

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Solution

The fourth proportional to 2,506.34, 3,755.36 and 1,772.28 is: 2,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.34 : 3,755.36 = 1,772.28 : x
  2. Step 2: Convert to fraction form
    2,506.34/3,755.36 = 1,772.28/x
  3. Step 3: Cross multiply
    2,506.34x = 3,755.36 × 1,772.28
  4. Step 4: Simplify right side
    2,506.34x = 6,655,553.85
  5. Step 5: Solve for x
    x = 6,655,553.85/2,506.34
  6. Step 6: Final answer
    x = 2,655.48

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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.