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Finding the Fourth Proportional to 2,664.58, 3,677.13 and 1,546.17

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Solution

The fourth proportional to 2,664.58, 3,677.13 and 1,546.17 is: 2,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.58 : 3,677.13 = 1,546.17 : x
  2. Step 2: Convert to fraction form
    2,664.58/3,677.13 = 1,546.17/x
  3. Step 3: Cross multiply
    2,664.58x = 3,677.13 × 1,546.17
  4. Step 4: Simplify right side
    2,664.58x = 5,685,468.09
  5. Step 5: Solve for x
    x = 5,685,468.09/2,664.58
  6. Step 6: Final answer
    x = 2,133.72

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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.