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Finding the Fourth Proportional to 3,009.75, 4,522.59 and 1,624.11

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Solution

The fourth proportional to 3,009.75, 4,522.59 and 1,624.11 is: 2,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.75 : 4,522.59 = 1,624.11 : x
  2. Step 2: Convert to fraction form
    3,009.75/4,522.59 = 1,624.11/x
  3. Step 3: Cross multiply
    3,009.75x = 4,522.59 × 1,624.11
  4. Step 4: Simplify right side
    3,009.75x = 7,345,183.64
  5. Step 5: Solve for x
    x = 7,345,183.64/3,009.75
  6. Step 6: Final answer
    x = 2,440.46

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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.