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Finding the Fourth Proportional to 4,343.85, 6,510.92 and 1,743.75

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Solution

The fourth proportional to 4,343.85, 6,510.92 and 1,743.75 is: 2,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.85 : 6,510.92 = 1,743.75 : x
  2. Step 2: Convert to fraction form
    4,343.85/6,510.92 = 1,743.75/x
  3. Step 3: Cross multiply
    4,343.85x = 6,510.92 × 1,743.75
  4. Step 4: Simplify right side
    4,343.85x = 11,353,408.03
  5. Step 5: Solve for x
    x = 11,353,408.03/4,343.85
  6. Step 6: Final answer
    x = 2,613.67

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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.