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Finding the Fourth Proportional to 1,416.93, 1,954.81 and 1,044.80

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Solution

The fourth proportional to 1,416.93, 1,954.81 and 1,044.80 is: 1,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.93 : 1,954.81 = 1,044.80 : x
  2. Step 2: Convert to fraction form
    1,416.93/1,954.81 = 1,044.80/x
  3. Step 3: Cross multiply
    1,416.93x = 1,954.81 × 1,044.80
  4. Step 4: Simplify right side
    1,416.93x = 2,042,384.35
  5. Step 5: Solve for x
    x = 2,042,384.35/1,416.93
  6. Step 6: Final answer
    x = 1,441.42

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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.