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Finding the Fourth Proportional to 2,755.76, 3,803.26 and 1,577

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Solution

The fourth proportional to 2,755.76, 3,803.26 and 1,577 is: 2,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.76 : 3,803.26 = 1,577 : x
  2. Step 2: Convert to fraction form
    2,755.76/3,803.26 = 1,577/x
  3. Step 3: Cross multiply
    2,755.76x = 3,803.26 × 1,577
  4. Step 4: Simplify right side
    2,755.76x = 5,997,741.02
  5. Step 5: Solve for x
    x = 5,997,741.02/2,755.76
  6. Step 6: Final answer
    x = 2,176.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.