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Finding the Fourth Proportional to 4,620, 6,926.72 and 1,697.92

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Solution

The fourth proportional to 4,620, 6,926.72 and 1,697.92 is: 2,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620 : 6,926.72 = 1,697.92 : x
  2. Step 2: Convert to fraction form
    4,620/6,926.72 = 1,697.92/x
  3. Step 3: Cross multiply
    4,620x = 6,926.72 × 1,697.92
  4. Step 4: Simplify right side
    4,620x = 11,761,016.42
  5. Step 5: Solve for x
    x = 11,761,016.42/4,620
  6. Step 6: Final answer
    x = 2,545.67

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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.