Home / 1,694.17-2,538.51-706.14

Finding the Fourth Proportional to 1,694.17, 2,538.51 and 706.14

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Solution

The fourth proportional to 1,694.17, 2,538.51 and 706.14 is: 1,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.17 : 2,538.51 = 706.14 : x
  2. Step 2: Convert to fraction form
    1,694.17/2,538.51 = 706.14/x
  3. Step 3: Cross multiply
    1,694.17x = 2,538.51 × 706.14
  4. Step 4: Simplify right side
    1,694.17x = 1,792,553.90
  5. Step 5: Solve for x
    x = 1,792,553.90/1,694.17
  6. Step 6: Final answer
    x = 1,058.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.