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Finding the Fourth Proportional to 2,627.85, 3,626.50 and 1,448.99

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Solution

The fourth proportional to 2,627.85, 3,626.50 and 1,448.99 is: 1,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.85 : 3,626.50 = 1,448.99 : x
  2. Step 2: Convert to fraction form
    2,627.85/3,626.50 = 1,448.99/x
  3. Step 3: Cross multiply
    2,627.85x = 3,626.50 × 1,448.99
  4. Step 4: Simplify right side
    2,627.85x = 5,254,762.24
  5. Step 5: Solve for x
    x = 5,254,762.24/2,627.85
  6. Step 6: Final answer
    x = 1,999.64

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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.