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Finding the Fourth Proportional to 1,416.48, 1,954.19 and 1,044.34

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Solution

The fourth proportional to 1,416.48, 1,954.19 and 1,044.34 is: 1,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.48 : 1,954.19 = 1,044.34 : x
  2. Step 2: Convert to fraction form
    1,416.48/1,954.19 = 1,044.34/x
  3. Step 3: Cross multiply
    1,416.48x = 1,954.19 × 1,044.34
  4. Step 4: Simplify right side
    1,416.48x = 2,040,840.09
  5. Step 5: Solve for x
    x = 2,040,840.09/1,416.48
  6. Step 6: Final answer
    x = 1,440.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.