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Finding the Fourth Proportional to 1,453.82, 2,180.33 and 991.51

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Solution

The fourth proportional to 1,453.82, 2,180.33 and 991.51 is: 1,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.82 : 2,180.33 = 991.51 : x
  2. Step 2: Convert to fraction form
    1,453.82/2,180.33 = 991.51/x
  3. Step 3: Cross multiply
    1,453.82x = 2,180.33 × 991.51
  4. Step 4: Simplify right side
    1,453.82x = 2,161,812.31
  5. Step 5: Solve for x
    x = 2,161,812.31/1,453.82
  6. Step 6: Final answer
    x = 1,486.99

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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.