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Finding the Fourth Proportional to 1,858.41, 2,765.68 and 1,797.66

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Solution

The fourth proportional to 1,858.41, 2,765.68 and 1,797.66 is: 2,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.41 : 2,765.68 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    1,858.41/2,765.68 = 1,797.66/x
  3. Step 3: Cross multiply
    1,858.41x = 2,765.68 × 1,797.66
  4. Step 4: Simplify right side
    1,858.41x = 4,971,747.81
  5. Step 5: Solve for x
    x = 4,971,747.81/1,858.41
  6. Step 6: Final answer
    x = 2,675.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.