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Finding the Fourth Proportional to 1,468.74, 2,026.86 and 805.61

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Solution

The fourth proportional to 1,468.74, 2,026.86 and 805.61 is: 1,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.74 : 2,026.86 = 805.61 : x
  2. Step 2: Convert to fraction form
    1,468.74/2,026.86 = 805.61/x
  3. Step 3: Cross multiply
    1,468.74x = 2,026.86 × 805.61
  4. Step 4: Simplify right side
    1,468.74x = 1,632,850.56
  5. Step 5: Solve for x
    x = 1,632,850.56/1,468.74
  6. Step 6: Final answer
    x = 1,111.73

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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.