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Finding the Fourth Proportional to 2,359.69, 3,539.97 and 972.26

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Solution

The fourth proportional to 2,359.69, 3,539.97 and 972.26 is: 1,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.69 : 3,539.97 = 972.26 : x
  2. Step 2: Convert to fraction form
    2,359.69/3,539.97 = 972.26/x
  3. Step 3: Cross multiply
    2,359.69x = 3,539.97 × 972.26
  4. Step 4: Simplify right side
    2,359.69x = 3,441,765.44
  5. Step 5: Solve for x
    x = 3,441,765.44/2,359.69
  6. Step 6: Final answer
    x = 1,458.56

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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.