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Finding the Fourth Proportional to 2,059.21, 3,088.87 and 598.38

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Solution

The fourth proportional to 2,059.21, 3,088.87 and 598.38 is: 897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.21 : 3,088.87 = 598.38 : x
  2. Step 2: Convert to fraction form
    2,059.21/3,088.87 = 598.38/x
  3. Step 3: Cross multiply
    2,059.21x = 3,088.87 × 598.38
  4. Step 4: Simplify right side
    2,059.21x = 1,848,304.95
  5. Step 5: Solve for x
    x = 1,848,304.95/2,059.21
  6. Step 6: Final answer
    x = 897.58

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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.