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Finding the Fourth Proportional to 1,869.66, 2,791.31 and 1,428.58

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Solution

The fourth proportional to 1,869.66, 2,791.31 and 1,428.58 is: 2,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.66 : 2,791.31 = 1,428.58 : x
  2. Step 2: Convert to fraction form
    1,869.66/2,791.31 = 1,428.58/x
  3. Step 3: Cross multiply
    1,869.66x = 2,791.31 × 1,428.58
  4. Step 4: Simplify right side
    1,869.66x = 3,987,605.99
  5. Step 5: Solve for x
    x = 3,987,605.99/1,869.66
  6. Step 6: Final answer
    x = 2,132.80

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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.