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Finding the Fourth Proportional to 2,809.40, 3,876.75 and 1,550.48

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Solution

The fourth proportional to 2,809.40, 3,876.75 and 1,550.48 is: 2,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.40 : 3,876.75 = 1,550.48 : x
  2. Step 2: Convert to fraction form
    2,809.40/3,876.75 = 1,550.48/x
  3. Step 3: Cross multiply
    2,809.40x = 3,876.75 × 1,550.48
  4. Step 4: Simplify right side
    2,809.40x = 6,010,823.34
  5. Step 5: Solve for x
    x = 6,010,823.34/2,809.40
  6. Step 6: Final answer
    x = 2,139.54

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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.