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Finding the Fourth Proportional to 3,089.46, 4,635 and 898.38

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Solution

The fourth proportional to 3,089.46, 4,635 and 898.38 is: 1,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.46 : 4,635 = 898.38 : x
  2. Step 2: Convert to fraction form
    3,089.46/4,635 = 898.38/x
  3. Step 3: Cross multiply
    3,089.46x = 4,635 × 898.38
  4. Step 4: Simplify right side
    3,089.46x = 4,163,991.30
  5. Step 5: Solve for x
    x = 4,163,991.30/3,089.46
  6. Step 6: Final answer
    x = 1,347.81

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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.