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Finding the Fourth Proportional to 2,598.91, 3,898.36 and 651.12

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Solution

The fourth proportional to 2,598.91, 3,898.36 and 651.12 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.91 : 3,898.36 = 651.12 : x
  2. Step 2: Convert to fraction form
    2,598.91/3,898.36 = 651.12/x
  3. Step 3: Cross multiply
    2,598.91x = 3,898.36 × 651.12
  4. Step 4: Simplify right side
    2,598.91x = 2,538,286.36
  5. Step 5: Solve for x
    x = 2,538,286.36/2,598.91
  6. Step 6: Final answer
    x = 976.67

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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.