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Finding the Fourth Proportional to 2,526.19, 3,789.48 and 794.81

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Solution

The fourth proportional to 2,526.19, 3,789.48 and 794.81 is: 1,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.19 : 3,789.48 = 794.81 : x
  2. Step 2: Convert to fraction form
    2,526.19/3,789.48 = 794.81/x
  3. Step 3: Cross multiply
    2,526.19x = 3,789.48 × 794.81
  4. Step 4: Simplify right side
    2,526.19x = 3,011,929.05
  5. Step 5: Solve for x
    x = 3,011,929.05/2,526.19
  6. Step 6: Final answer
    x = 1,192.28

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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.