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Finding the Fourth Proportional to 1,629.88, 2,445.18 and 808.36

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Solution

The fourth proportional to 1,629.88, 2,445.18 and 808.36 is: 1,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.88 : 2,445.18 = 808.36 : x
  2. Step 2: Convert to fraction form
    1,629.88/2,445.18 = 808.36/x
  3. Step 3: Cross multiply
    1,629.88x = 2,445.18 × 808.36
  4. Step 4: Simplify right side
    1,629.88x = 1,976,585.70
  5. Step 5: Solve for x
    x = 1,976,585.70/1,629.88
  6. Step 6: Final answer
    x = 1,212.72

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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.