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Finding the Fourth Proportional to 2,359, 3,538.58 and 820.12

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Solution

The fourth proportional to 2,359, 3,538.58 and 820.12 is: 1,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359 : 3,538.58 = 820.12 : x
  2. Step 2: Convert to fraction form
    2,359/3,538.58 = 820.12/x
  3. Step 3: Cross multiply
    2,359x = 3,538.58 × 820.12
  4. Step 4: Simplify right side
    2,359x = 2,902,060.23
  5. Step 5: Solve for x
    x = 2,902,060.23/2,359
  6. Step 6: Final answer
    x = 1,230.21

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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.