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Finding the Fourth Proportional to 1,641.93, 2,462.03 and 808.64

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Solution

The fourth proportional to 1,641.93, 2,462.03 and 808.64 is: 1,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.93 : 2,462.03 = 808.64 : x
  2. Step 2: Convert to fraction form
    1,641.93/2,462.03 = 808.64/x
  3. Step 3: Cross multiply
    1,641.93x = 2,462.03 × 808.64
  4. Step 4: Simplify right side
    1,641.93x = 1,990,895.94
  5. Step 5: Solve for x
    x = 1,990,895.94/1,641.93
  6. Step 6: Final answer
    x = 1,212.54

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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.