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Finding the Fourth Proportional to 2,552.50, 3,522.45 and 1,448.50

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Solution

The fourth proportional to 2,552.50, 3,522.45 and 1,448.50 is: 1,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.50 : 3,522.45 = 1,448.50 : x
  2. Step 2: Convert to fraction form
    2,552.50/3,522.45 = 1,448.50/x
  3. Step 3: Cross multiply
    2,552.50x = 3,522.45 × 1,448.50
  4. Step 4: Simplify right side
    2,552.50x = 5,102,268.83
  5. Step 5: Solve for x
    x = 5,102,268.83/2,552.50
  6. Step 6: Final answer
    x = 1,998.93

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Why These Related Problems?

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