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Finding the Fourth Proportional to 2,526.34, 3,790.11 and 794.97

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Solution

The fourth proportional to 2,526.34, 3,790.11 and 794.97 is: 1,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.34 : 3,790.11 = 794.97 : x
  2. Step 2: Convert to fraction form
    2,526.34/3,790.11 = 794.97/x
  3. Step 3: Cross multiply
    2,526.34x = 3,790.11 × 794.97
  4. Step 4: Simplify right side
    2,526.34x = 3,013,023.75
  5. Step 5: Solve for x
    x = 3,013,023.75/2,526.34
  6. Step 6: Final answer
    x = 1,192.64

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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.