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Finding the Fourth Proportional to 2,552.07, 3,826.29 and 990.76

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Solution

The fourth proportional to 2,552.07, 3,826.29 and 990.76 is: 1,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.07 : 3,826.29 = 990.76 : x
  2. Step 2: Convert to fraction form
    2,552.07/3,826.29 = 990.76/x
  3. Step 3: Cross multiply
    2,552.07x = 3,826.29 × 990.76
  4. Step 4: Simplify right side
    2,552.07x = 3,790,926.34
  5. Step 5: Solve for x
    x = 3,790,926.34/2,552.07
  6. Step 6: Final answer
    x = 1,485.43

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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.