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Finding the Fourth Proportional to 2,152.52, 3,232.62 and 1,763.26

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Solution

The fourth proportional to 2,152.52, 3,232.62 and 1,763.26 is: 2,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.52 : 3,232.62 = 1,763.26 : x
  2. Step 2: Convert to fraction form
    2,152.52/3,232.62 = 1,763.26/x
  3. Step 3: Cross multiply
    2,152.52x = 3,232.62 × 1,763.26
  4. Step 4: Simplify right side
    2,152.52x = 5,699,949.54
  5. Step 5: Solve for x
    x = 5,699,949.54/2,152.52
  6. Step 6: Final answer
    x = 2,648.04

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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.