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Finding the Fourth Proportional to 2,568.43, 3,852.65 and 620.63

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Solution

The fourth proportional to 2,568.43, 3,852.65 and 620.63 is: 930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.43 : 3,852.65 = 620.63 : x
  2. Step 2: Convert to fraction form
    2,568.43/3,852.65 = 620.63/x
  3. Step 3: Cross multiply
    2,568.43x = 3,852.65 × 620.63
  4. Step 4: Simplify right side
    2,568.43x = 2,391,070.17
  5. Step 5: Solve for x
    x = 2,391,070.17/2,568.43
  6. Step 6: Final answer
    x = 930.95

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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.