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Finding the Fourth Proportional to 2,199.52, 3,291.60 and 2,128.48

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Solution

The fourth proportional to 2,199.52, 3,291.60 and 2,128.48 is: 3,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.52 : 3,291.60 = 2,128.48 : x
  2. Step 2: Convert to fraction form
    2,199.52/3,291.60 = 2,128.48/x
  3. Step 3: Cross multiply
    2,199.52x = 3,291.60 × 2,128.48
  4. Step 4: Simplify right side
    2,199.52x = 7,006,104.77
  5. Step 5: Solve for x
    x = 7,006,104.77/2,199.52
  6. Step 6: Final answer
    x = 3,185.29

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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.