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Finding the Fourth Proportional to 2,664.74, 3,677.36 and 1,469.70

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Solution

The fourth proportional to 2,664.74, 3,677.36 and 1,469.70 is: 2,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.74 : 3,677.36 = 1,469.70 : x
  2. Step 2: Convert to fraction form
    2,664.74/3,677.36 = 1,469.70/x
  3. Step 3: Cross multiply
    2,664.74x = 3,677.36 × 1,469.70
  4. Step 4: Simplify right side
    2,664.74x = 5,404,590.26
  5. Step 5: Solve for x
    x = 5,404,590.26/2,664.74
  6. Step 6: Final answer
    x = 2,028.19

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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.