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Finding the Fourth Proportional to 4,600.68, 6,901.64 and 1,479.65

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Solution

The fourth proportional to 4,600.68, 6,901.64 and 1,479.65 is: 2,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.68 : 6,901.64 = 1,479.65 : x
  2. Step 2: Convert to fraction form
    4,600.68/6,901.64 = 1,479.65/x
  3. Step 3: Cross multiply
    4,600.68x = 6,901.64 × 1,479.65
  4. Step 4: Simplify right side
    4,600.68x = 10,211,969.72
  5. Step 5: Solve for x
    x = 10,211,969.72/4,600.68
  6. Step 6: Final answer
    x = 2,219.67

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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.