Home / 1,828.14-2,522.82-1,000.14

Finding the Fourth Proportional to 1,828.14, 2,522.82 and 1,000.14

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Solution

The fourth proportional to 1,828.14, 2,522.82 and 1,000.14 is: 1,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.14 : 2,522.82 = 1,000.14 : x
  2. Step 2: Convert to fraction form
    1,828.14/2,522.82 = 1,000.14/x
  3. Step 3: Cross multiply
    1,828.14x = 2,522.82 × 1,000.14
  4. Step 4: Simplify right side
    1,828.14x = 2,523,173.19
  5. Step 5: Solve for x
    x = 2,523,173.19/1,828.14
  6. Step 6: Final answer
    x = 1,380.19

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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.