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Finding the Fourth Proportional to 3,090.53, 4,635.18 and 1,446.64

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Solution

The fourth proportional to 3,090.53, 4,635.18 and 1,446.64 is: 2,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.53 : 4,635.18 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    3,090.53/4,635.18 = 1,446.64/x
  3. Step 3: Cross multiply
    3,090.53x = 4,635.18 × 1,446.64
  4. Step 4: Simplify right side
    3,090.53x = 6,705,436.80
  5. Step 5: Solve for x
    x = 6,705,436.80/3,090.53
  6. Step 6: Final answer
    x = 2,169.67

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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.