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Finding the Fourth Proportional to 1,523.12, 2,100.48 and 998.24

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Solution

The fourth proportional to 1,523.12, 2,100.48 and 998.24 is: 1,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.12 : 2,100.48 = 998.24 : x
  2. Step 2: Convert to fraction form
    1,523.12/2,100.48 = 998.24/x
  3. Step 3: Cross multiply
    1,523.12x = 2,100.48 × 998.24
  4. Step 4: Simplify right side
    1,523.12x = 2,096,783.16
  5. Step 5: Solve for x
    x = 2,096,783.16/1,523.12
  6. Step 6: Final answer
    x = 1,376.64

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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.