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Finding the Fourth Proportional to 2,577.03, 3,850.82 and 1,748.40

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Solution

The fourth proportional to 2,577.03, 3,850.82 and 1,748.40 is: 2,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.03 : 3,850.82 = 1,748.40 : x
  2. Step 2: Convert to fraction form
    2,577.03/3,850.82 = 1,748.40/x
  3. Step 3: Cross multiply
    2,577.03x = 3,850.82 × 1,748.40
  4. Step 4: Simplify right side
    2,577.03x = 6,732,764.95
  5. Step 5: Solve for x
    x = 6,732,764.95/2,577.03
  6. Step 6: Final answer
    x = 2,612.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.