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Finding the Fourth Proportional to 1,453.75, 2,005.83 and 982.52

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Solution

The fourth proportional to 1,453.75, 2,005.83 and 982.52 is: 1,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.75 : 2,005.83 = 982.52 : x
  2. Step 2: Convert to fraction form
    1,453.75/2,005.83 = 982.52/x
  3. Step 3: Cross multiply
    1,453.75x = 2,005.83 × 982.52
  4. Step 4: Simplify right side
    1,453.75x = 1,970,768.09
  5. Step 5: Solve for x
    x = 1,970,768.09/1,453.75
  6. Step 6: Final answer
    x = 1,355.64

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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.