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Finding the Fourth Proportional to 1,467.16, 2,023.74 and 899.73

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Solution

The fourth proportional to 1,467.16, 2,023.74 and 899.73 is: 1,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.16 : 2,023.74 = 899.73 : x
  2. Step 2: Convert to fraction form
    1,467.16/2,023.74 = 899.73/x
  3. Step 3: Cross multiply
    1,467.16x = 2,023.74 × 899.73
  4. Step 4: Simplify right side
    1,467.16x = 1,820,819.59
  5. Step 5: Solve for x
    x = 1,820,819.59/1,467.16
  6. Step 6: Final answer
    x = 1,241.05

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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.