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Finding the Fourth Proportional to 1,857.19, 2,786.22 and 540.98

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Solution

The fourth proportional to 1,857.19, 2,786.22 and 540.98 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.19 : 2,786.22 = 540.98 : x
  2. Step 2: Convert to fraction form
    1,857.19/2,786.22 = 540.98/x
  3. Step 3: Cross multiply
    1,857.19x = 2,786.22 × 540.98
  4. Step 4: Simplify right side
    1,857.19x = 1,507,278.85
  5. Step 5: Solve for x
    x = 1,507,278.85/1,857.19
  6. Step 6: Final answer
    x = 811.59

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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.