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Finding the Fourth Proportional to 1,468.50, 2,026.22 and 996.48

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Solution

The fourth proportional to 1,468.50, 2,026.22 and 996.48 is: 1,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.50 : 2,026.22 = 996.48 : x
  2. Step 2: Convert to fraction form
    1,468.50/2,026.22 = 996.48/x
  3. Step 3: Cross multiply
    1,468.50x = 2,026.22 × 996.48
  4. Step 4: Simplify right side
    1,468.50x = 2,019,087.71
  5. Step 5: Solve for x
    x = 2,019,087.71/1,468.50
  6. Step 6: Final answer
    x = 1,374.93

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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.