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Finding the Fourth Proportional to 1,468.43, 2,026.44 and 908.72

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Solution

The fourth proportional to 1,468.43, 2,026.44 and 908.72 is: 1,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.43 : 2,026.44 = 908.72 : x
  2. Step 2: Convert to fraction form
    1,468.43/2,026.44 = 908.72/x
  3. Step 3: Cross multiply
    1,468.43x = 2,026.44 × 908.72
  4. Step 4: Simplify right side
    1,468.43x = 1,841,456.42
  5. Step 5: Solve for x
    x = 1,841,456.42/1,468.43
  6. Step 6: Final answer
    x = 1,254.04

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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.