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Finding the Fourth Proportional to 2,738.78, 3,775.10 and 1,854.26

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Solution

The fourth proportional to 2,738.78, 3,775.10 and 1,854.26 is: 2,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.78 : 3,775.10 = 1,854.26 : x
  2. Step 2: Convert to fraction form
    2,738.78/3,775.10 = 1,854.26/x
  3. Step 3: Cross multiply
    2,738.78x = 3,775.10 × 1,854.26
  4. Step 4: Simplify right side
    2,738.78x = 7,000,016.93
  5. Step 5: Solve for x
    x = 7,000,016.93/2,738.78
  6. Step 6: Final answer
    x = 2,555.89

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