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Finding the Fourth Proportional to 1,839.93, 2,537.51 and 1,464.09

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Solution

The fourth proportional to 1,839.93, 2,537.51 and 1,464.09 is: 2,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.93 : 2,537.51 = 1,464.09 : x
  2. Step 2: Convert to fraction form
    1,839.93/2,537.51 = 1,464.09/x
  3. Step 3: Cross multiply
    1,839.93x = 2,537.51 × 1,464.09
  4. Step 4: Simplify right side
    1,839.93x = 3,715,135.70
  5. Step 5: Solve for x
    x = 3,715,135.70/1,839.93
  6. Step 6: Final answer
    x = 2,019.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.