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Finding the Fourth Proportional to 1,828.25, 2,522.99 and 1,000.25

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Solution

The fourth proportional to 1,828.25, 2,522.99 and 1,000.25 is: 1,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.25 : 2,522.99 = 1,000.25 : x
  2. Step 2: Convert to fraction form
    1,828.25/2,522.99 = 1,000.25/x
  3. Step 3: Cross multiply
    1,828.25x = 2,522.99 × 1,000.25
  4. Step 4: Simplify right side
    1,828.25x = 2,523,615.75
  5. Step 5: Solve for x
    x = 2,523,615.75/1,828.25
  6. Step 6: Final answer
    x = 1,380.35

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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.