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Finding the Fourth Proportional to 1,739.97, 2,401.31 and 954.17

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Solution

The fourth proportional to 1,739.97, 2,401.31 and 954.17 is: 1,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.97 : 2,401.31 = 954.17 : x
  2. Step 2: Convert to fraction form
    1,739.97/2,401.31 = 954.17/x
  3. Step 3: Cross multiply
    1,739.97x = 2,401.31 × 954.17
  4. Step 4: Simplify right side
    1,739.97x = 2,291,257.96
  5. Step 5: Solve for x
    x = 2,291,257.96/1,739.97
  6. Step 6: Final answer
    x = 1,316.84

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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.