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Finding the Fourth Proportional to 2,664.25, 3,678.99 and 1,671.24

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Solution

The fourth proportional to 2,664.25, 3,678.99 and 1,671.24 is: 2,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.25 : 3,678.99 = 1,671.24 : x
  2. Step 2: Convert to fraction form
    2,664.25/3,678.99 = 1,671.24/x
  3. Step 3: Cross multiply
    2,664.25x = 3,678.99 × 1,671.24
  4. Step 4: Simplify right side
    2,664.25x = 6,148,466.05
  5. Step 5: Solve for x
    x = 6,148,466.05/2,664.25
  6. Step 6: Final answer
    x = 2,307.76

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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.