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Finding the Fourth Proportional to 2,359.36, 3,539.20 and 820.16

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Solution

The fourth proportional to 2,359.36, 3,539.20 and 820.16 is: 1,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.36 : 3,539.20 = 820.16 : x
  2. Step 2: Convert to fraction form
    2,359.36/3,539.20 = 820.16/x
  3. Step 3: Cross multiply
    2,359.36x = 3,539.20 × 820.16
  4. Step 4: Simplify right side
    2,359.36x = 2,902,710.27
  5. Step 5: Solve for x
    x = 2,902,710.27/2,359.36
  6. Step 6: Final answer
    x = 1,230.30

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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.