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Finding the Fourth Proportional to 2,676.78, 4,014.36 and 945

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Solution

The fourth proportional to 2,676.78, 4,014.36 and 945 is: 1,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.78 : 4,014.36 = 945 : x
  2. Step 2: Convert to fraction form
    2,676.78/4,014.36 = 945/x
  3. Step 3: Cross multiply
    2,676.78x = 4,014.36 × 945
  4. Step 4: Simplify right side
    2,676.78x = 3,793,570.20
  5. Step 5: Solve for x
    x = 3,793,570.20/2,676.78
  6. Step 6: Final answer
    x = 1,417.21

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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.