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Finding the Fourth Proportional to 1,860.90, 2,791.82 and 1,314.14

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Solution

The fourth proportional to 1,860.90, 2,791.82 and 1,314.14 is: 1,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.90 : 2,791.82 = 1,314.14 : x
  2. Step 2: Convert to fraction form
    1,860.90/2,791.82 = 1,314.14/x
  3. Step 3: Cross multiply
    1,860.90x = 2,791.82 × 1,314.14
  4. Step 4: Simplify right side
    1,860.90x = 3,668,842.33
  5. Step 5: Solve for x
    x = 3,668,842.33/1,860.90
  6. Step 6: Final answer
    x = 1,971.54

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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.