Home / 1,689.16-2,532.54-822.92

Finding the Fourth Proportional to 1,689.16, 2,532.54 and 822.92

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Solution

The fourth proportional to 1,689.16, 2,532.54 and 822.92 is: 1,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.16 : 2,532.54 = 822.92 : x
  2. Step 2: Convert to fraction form
    1,689.16/2,532.54 = 822.92/x
  3. Step 3: Cross multiply
    1,689.16x = 2,532.54 × 822.92
  4. Step 4: Simplify right side
    1,689.16x = 2,084,077.82
  5. Step 5: Solve for x
    x = 2,084,077.82/1,689.16
  6. Step 6: Final answer
    x = 1,233.80

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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.