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Finding the Fourth Proportional to 2,780.37, 3,840.06 and 1,894.65

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Solution

The fourth proportional to 2,780.37, 3,840.06 and 1,894.65 is: 2,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.37 : 3,840.06 = 1,894.65 : x
  2. Step 2: Convert to fraction form
    2,780.37/3,840.06 = 1,894.65/x
  3. Step 3: Cross multiply
    2,780.37x = 3,840.06 × 1,894.65
  4. Step 4: Simplify right side
    2,780.37x = 7,275,569.68
  5. Step 5: Solve for x
    x = 7,275,569.68/2,780.37
  6. Step 6: Final answer
    x = 2,616.76

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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.