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Finding the Fourth Proportional to 2,021.57, 3,030.87 and 634.15

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Solution

The fourth proportional to 2,021.57, 3,030.87 and 634.15 is: 950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.57 : 3,030.87 = 634.15 : x
  2. Step 2: Convert to fraction form
    2,021.57/3,030.87 = 634.15/x
  3. Step 3: Cross multiply
    2,021.57x = 3,030.87 × 634.15
  4. Step 4: Simplify right side
    2,021.57x = 1,922,018.63
  5. Step 5: Solve for x
    x = 1,922,018.63/2,021.57
  6. Step 6: Final answer
    x = 950.76

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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.