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Finding the Fourth Proportional to 2,664.88, 3,998 and 1,021.57

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Solution

The fourth proportional to 2,664.88, 3,998 and 1,021.57 is: 1,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.88 : 3,998 = 1,021.57 : x
  2. Step 2: Convert to fraction form
    2,664.88/3,998 = 1,021.57/x
  3. Step 3: Cross multiply
    2,664.88x = 3,998 × 1,021.57
  4. Step 4: Simplify right side
    2,664.88x = 4,084,236.86
  5. Step 5: Solve for x
    x = 4,084,236.86/2,664.88
  6. Step 6: Final answer
    x = 1,532.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.