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Finding the Fourth Proportional to 2,504.67, 3,453.04 and 2,111.01

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Solution

The fourth proportional to 2,504.67, 3,453.04 and 2,111.01 is: 2,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.67 : 3,453.04 = 2,111.01 : x
  2. Step 2: Convert to fraction form
    2,504.67/3,453.04 = 2,111.01/x
  3. Step 3: Cross multiply
    2,504.67x = 3,453.04 × 2,111.01
  4. Step 4: Simplify right side
    2,504.67x = 7,289,374.15
  5. Step 5: Solve for x
    x = 7,289,374.15/2,504.67
  6. Step 6: Final answer
    x = 2,910.32

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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.