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Finding the Fourth Proportional to 1,523.80, 2,102.84 and 825.18

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Solution

The fourth proportional to 1,523.80, 2,102.84 and 825.18 is: 1,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.80 : 2,102.84 = 825.18 : x
  2. Step 2: Convert to fraction form
    1,523.80/2,102.84 = 825.18/x
  3. Step 3: Cross multiply
    1,523.80x = 2,102.84 × 825.18
  4. Step 4: Simplify right side
    1,523.80x = 1,735,211.00
  5. Step 5: Solve for x
    x = 1,735,211.00/1,523.80
  6. Step 6: Final answer
    x = 1,138.74

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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.