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Finding the Fourth Proportional to 2,627.54, 3,625.95 and 1,448.58

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Solution

The fourth proportional to 2,627.54, 3,625.95 and 1,448.58 is: 1,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.54 : 3,625.95 = 1,448.58 : x
  2. Step 2: Convert to fraction form
    2,627.54/3,625.95 = 1,448.58/x
  3. Step 3: Cross multiply
    2,627.54x = 3,625.95 × 1,448.58
  4. Step 4: Simplify right side
    2,627.54x = 5,252,478.65
  5. Step 5: Solve for x
    x = 5,252,478.65/2,627.54
  6. Step 6: Final answer
    x = 1,999.01

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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.