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Finding the Fourth Proportional to 3,202.62, 4,412.76 and 2,152.86

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Solution

The fourth proportional to 3,202.62, 4,412.76 and 2,152.86 is: 2,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.62 : 4,412.76 = 2,152.86 : x
  2. Step 2: Convert to fraction form
    3,202.62/4,412.76 = 2,152.86/x
  3. Step 3: Cross multiply
    3,202.62x = 4,412.76 × 2,152.86
  4. Step 4: Simplify right side
    3,202.62x = 9,500,054.49
  5. Step 5: Solve for x
    x = 9,500,054.49/3,202.62
  6. Step 6: Final answer
    x = 2,966.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.