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Finding the Fourth Proportional to 2,669.78, 3,679.88 and 1,785.26

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Solution

The fourth proportional to 2,669.78, 3,679.88 and 1,785.26 is: 2,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.78 : 3,679.88 = 1,785.26 : x
  2. Step 2: Convert to fraction form
    2,669.78/3,679.88 = 1,785.26/x
  3. Step 3: Cross multiply
    2,669.78x = 3,679.88 × 1,785.26
  4. Step 4: Simplify right side
    2,669.78x = 6,569,542.57
  5. Step 5: Solve for x
    x = 6,569,542.57/2,669.78
  6. Step 6: Final answer
    x = 2,460.71

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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.