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Finding the Fourth Proportional to 1,635.09, 2,448.72 and 893.59

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Solution

The fourth proportional to 1,635.09, 2,448.72 and 893.59 is: 1,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.09 : 2,448.72 = 893.59 : x
  2. Step 2: Convert to fraction form
    1,635.09/2,448.72 = 893.59/x
  3. Step 3: Cross multiply
    1,635.09x = 2,448.72 × 893.59
  4. Step 4: Simplify right side
    1,635.09x = 2,188,145.58
  5. Step 5: Solve for x
    x = 2,188,145.58/1,635.09
  6. Step 6: Final answer
    x = 1,338.24

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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.