Home / 1,702.14-2,552.09-822.89

Finding the Fourth Proportional to 1,702.14, 2,552.09 and 822.89

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Solution

The fourth proportional to 1,702.14, 2,552.09 and 822.89 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.14 : 2,552.09 = 822.89 : x
  2. Step 2: Convert to fraction form
    1,702.14/2,552.09 = 822.89/x
  3. Step 3: Cross multiply
    1,702.14x = 2,552.09 × 822.89
  4. Step 4: Simplify right side
    1,702.14x = 2,100,089.34
  5. Step 5: Solve for x
    x = 2,100,089.34/1,702.14
  6. Step 6: Final answer
    x = 1,233.79

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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.