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Finding the Fourth Proportional to 4,598.90, 6,898.61 and 1,311.73

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Solution

The fourth proportional to 4,598.90, 6,898.61 and 1,311.73 is: 1,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.90 : 6,898.61 = 1,311.73 : x
  2. Step 2: Convert to fraction form
    4,598.90/6,898.61 = 1,311.73/x
  3. Step 3: Cross multiply
    4,598.90x = 6,898.61 × 1,311.73
  4. Step 4: Simplify right side
    4,598.90x = 9,049,120.68
  5. Step 5: Solve for x
    x = 9,049,120.68/4,598.90
  6. Step 6: Final answer
    x = 1,967.67

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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.