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Finding the Fourth Proportional to 2,454.70, 3,676.65 and 1,720.30

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Solution

The fourth proportional to 2,454.70, 3,676.65 and 1,720.30 is: 2,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.70 : 3,676.65 = 1,720.30 : x
  2. Step 2: Convert to fraction form
    2,454.70/3,676.65 = 1,720.30/x
  3. Step 3: Cross multiply
    2,454.70x = 3,676.65 × 1,720.30
  4. Step 4: Simplify right side
    2,454.70x = 6,324,941.00
  5. Step 5: Solve for x
    x = 6,324,941.00/2,454.70
  6. Step 6: Final answer
    x = 2,576.67

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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.