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Finding the Fourth Proportional to 2,185.76, 3,272.16 and 2,008.64

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Solution

The fourth proportional to 2,185.76, 3,272.16 and 2,008.64 is: 3,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.76 : 3,272.16 = 2,008.64 : x
  2. Step 2: Convert to fraction form
    2,185.76/3,272.16 = 2,008.64/x
  3. Step 3: Cross multiply
    2,185.76x = 3,272.16 × 2,008.64
  4. Step 4: Simplify right side
    2,185.76x = 6,572,591.46
  5. Step 5: Solve for x
    x = 6,572,591.46/2,185.76
  6. Step 6: Final answer
    x = 3,007.01

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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.