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Finding the Fourth Proportional to 2,664.97, 3,673.25 and 1,780.45

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Solution

The fourth proportional to 2,664.97, 3,673.25 and 1,780.45 is: 2,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.97 : 3,673.25 = 1,780.45 : x
  2. Step 2: Convert to fraction form
    2,664.97/3,673.25 = 1,780.45/x
  3. Step 3: Cross multiply
    2,664.97x = 3,673.25 × 1,780.45
  4. Step 4: Simplify right side
    2,664.97x = 6,540,026.55
  5. Step 5: Solve for x
    x = 6,540,026.55/2,664.97
  6. Step 6: Final answer
    x = 2,454.07

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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.