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Finding the Fourth Proportional to 1,448.22, 2,169.72 and 899.22

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Solution

The fourth proportional to 1,448.22, 2,169.72 and 899.22 is: 1,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.22 : 2,169.72 = 899.22 : x
  2. Step 2: Convert to fraction form
    1,448.22/2,169.72 = 899.22/x
  3. Step 3: Cross multiply
    1,448.22x = 2,169.72 × 899.22
  4. Step 4: Simplify right side
    1,448.22x = 1,951,055.62
  5. Step 5: Solve for x
    x = 1,951,055.62/1,448.22
  6. Step 6: Final answer
    x = 1,347.21

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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.