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Finding the Fourth Proportional to 2,359.52, 3,538.06 and 1,059.88

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Solution

The fourth proportional to 2,359.52, 3,538.06 and 1,059.88 is: 1,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.52 : 3,538.06 = 1,059.88 : x
  2. Step 2: Convert to fraction form
    2,359.52/3,538.06 = 1,059.88/x
  3. Step 3: Cross multiply
    2,359.52x = 3,538.06 × 1,059.88
  4. Step 4: Simplify right side
    2,359.52x = 3,749,919.03
  5. Step 5: Solve for x
    x = 3,749,919.03/2,359.52
  6. Step 6: Final answer
    x = 1,589.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.