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Finding the Fourth Proportional to 1,820.74, 2,731.02 and 725.26

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Solution

The fourth proportional to 1,820.74, 2,731.02 and 725.26 is: 1,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.74 : 2,731.02 = 725.26 : x
  2. Step 2: Convert to fraction form
    1,820.74/2,731.02 = 725.26/x
  3. Step 3: Cross multiply
    1,820.74x = 2,731.02 × 725.26
  4. Step 4: Simplify right side
    1,820.74x = 1,980,699.57
  5. Step 5: Solve for x
    x = 1,980,699.57/1,820.74
  6. Step 6: Final answer
    x = 1,087.85

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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.