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Finding the Fourth Proportional to 2,059.30, 3,089.25 and 598.26

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Solution

The fourth proportional to 2,059.30, 3,089.25 and 598.26 is: 897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.30 : 3,089.25 = 598.26 : x
  2. Step 2: Convert to fraction form
    2,059.30/3,089.25 = 598.26/x
  3. Step 3: Cross multiply
    2,059.30x = 3,089.25 × 598.26
  4. Step 4: Simplify right side
    2,059.30x = 1,848,174.71
  5. Step 5: Solve for x
    x = 1,848,174.71/2,059.30
  6. Step 6: Final answer
    x = 897.48

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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.