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Finding the Fourth Proportional to 3,302.26, 4,948.52 and 2,189.32

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Solution

The fourth proportional to 3,302.26, 4,948.52 and 2,189.32 is: 3,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.26 : 4,948.52 = 2,189.32 : x
  2. Step 2: Convert to fraction form
    3,302.26/4,948.52 = 2,189.32/x
  3. Step 3: Cross multiply
    3,302.26x = 4,948.52 × 2,189.32
  4. Step 4: Simplify right side
    3,302.26x = 10,833,893.81
  5. Step 5: Solve for x
    x = 10,833,893.81/3,302.26
  6. Step 6: Final answer
    x = 3,280.75

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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.