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Finding the Fourth Proportional to 2,774.33, 3,828.75 and 1,595.37

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Solution

The fourth proportional to 2,774.33, 3,828.75 and 1,595.37 is: 2,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.33 : 3,828.75 = 1,595.37 : x
  2. Step 2: Convert to fraction form
    2,774.33/3,828.75 = 1,595.37/x
  3. Step 3: Cross multiply
    2,774.33x = 3,828.75 × 1,595.37
  4. Step 4: Simplify right side
    2,774.33x = 6,108,290.24
  5. Step 5: Solve for x
    x = 6,108,290.24/2,774.33
  6. Step 6: Final answer
    x = 2,201.72

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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.