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Finding the Fourth Proportional to 2,795.89, 3,858.38 and 1,537.00

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Solution

The fourth proportional to 2,795.89, 3,858.38 and 1,537.00 is: 2,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.89 : 3,858.38 = 1,537.00 : x
  2. Step 2: Convert to fraction form
    2,795.89/3,858.38 = 1,537.00/x
  3. Step 3: Cross multiply
    2,795.89x = 3,858.38 × 1,537.00
  4. Step 4: Simplify right side
    2,795.89x = 5,930,321.39
  5. Step 5: Solve for x
    x = 5,930,321.39/2,795.89
  6. Step 6: Final answer
    x = 2,121.08

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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.