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Finding the Fourth Proportional to 1,416.23, 1,954.41 and 826.66

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Solution

The fourth proportional to 1,416.23, 1,954.41 and 826.66 is: 1,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.23 : 1,954.41 = 826.66 : x
  2. Step 2: Convert to fraction form
    1,416.23/1,954.41 = 826.66/x
  3. Step 3: Cross multiply
    1,416.23x = 1,954.41 × 826.66
  4. Step 4: Simplify right side
    1,416.23x = 1,615,625.57
  5. Step 5: Solve for x
    x = 1,615,625.57/1,416.23
  6. Step 6: Final answer
    x = 1,140.79

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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.