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Finding the Fourth Proportional to 1,489.06, 2,054.99 and 899.68

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Solution

The fourth proportional to 1,489.06, 2,054.99 and 899.68 is: 1,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.06 : 2,054.99 = 899.68 : x
  2. Step 2: Convert to fraction form
    1,489.06/2,054.99 = 899.68/x
  3. Step 3: Cross multiply
    1,489.06x = 2,054.99 × 899.68
  4. Step 4: Simplify right side
    1,489.06x = 1,848,833.40
  5. Step 5: Solve for x
    x = 1,848,833.40/1,489.06
  6. Step 6: Final answer
    x = 1,241.61

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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.