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Finding the Fourth Proportional to 2,627.55, 3,626.05 and 1,448.67

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Solution

The fourth proportional to 2,627.55, 3,626.05 and 1,448.67 is: 1,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.55 : 3,626.05 = 1,448.67 : x
  2. Step 2: Convert to fraction form
    2,627.55/3,626.05 = 1,448.67/x
  3. Step 3: Cross multiply
    2,627.55x = 3,626.05 × 1,448.67
  4. Step 4: Simplify right side
    2,627.55x = 5,252,936.26
  5. Step 5: Solve for x
    x = 5,252,936.26/2,627.55
  6. Step 6: Final answer
    x = 1,999.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.