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Finding the Fourth Proportional to 2,665.21, 3,677.82 and 1,470.21

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Solution

The fourth proportional to 2,665.21, 3,677.82 and 1,470.21 is: 2,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.21 : 3,677.82 = 1,470.21 : x
  2. Step 2: Convert to fraction form
    2,665.21/3,677.82 = 1,470.21/x
  3. Step 3: Cross multiply
    2,665.21x = 3,677.82 × 1,470.21
  4. Step 4: Simplify right side
    2,665.21x = 5,407,174.29
  5. Step 5: Solve for x
    x = 5,407,174.29/2,665.21
  6. Step 6: Final answer
    x = 2,028.80

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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.