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Finding the Fourth Proportional to 2,676.30, 4,013.34 and 945.06

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Solution

The fourth proportional to 2,676.30, 4,013.34 and 945.06 is: 1,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.30 : 4,013.34 = 945.06 : x
  2. Step 2: Convert to fraction form
    2,676.30/4,013.34 = 945.06/x
  3. Step 3: Cross multiply
    2,676.30x = 4,013.34 × 945.06
  4. Step 4: Simplify right side
    2,676.30x = 3,792,847.10
  5. Step 5: Solve for x
    x = 3,792,847.10/2,676.30
  6. Step 6: Final answer
    x = 1,417.20

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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.