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Finding the Fourth Proportional to 2,021.60, 3,032.42 and 634.88

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Solution

The fourth proportional to 2,021.60, 3,032.42 and 634.88 is: 952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.60 : 3,032.42 = 634.88 : x
  2. Step 2: Convert to fraction form
    2,021.60/3,032.42 = 634.88/x
  3. Step 3: Cross multiply
    2,021.60x = 3,032.42 × 634.88
  4. Step 4: Simplify right side
    2,021.60x = 1,925,222.81
  5. Step 5: Solve for x
    x = 1,925,222.81/2,021.60
  6. Step 6: Final answer
    x = 952.33

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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.