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Finding the Fourth Proportional to 3,059.30, 4,588.31 and 867.44

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Solution

The fourth proportional to 3,059.30, 4,588.31 and 867.44 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.30 : 4,588.31 = 867.44 : x
  2. Step 2: Convert to fraction form
    3,059.30/4,588.31 = 867.44/x
  3. Step 3: Cross multiply
    3,059.30x = 4,588.31 × 867.44
  4. Step 4: Simplify right side
    3,059.30x = 3,980,097.27
  5. Step 5: Solve for x
    x = 3,980,097.27/3,059.30
  6. Step 6: Final answer
    x = 1,300.98

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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.