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Finding the Fourth Proportional to 3,288.84, 4,538.16 and 1,962.24

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Solution

The fourth proportional to 3,288.84, 4,538.16 and 1,962.24 is: 2,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.84 : 4,538.16 = 1,962.24 : x
  2. Step 2: Convert to fraction form
    3,288.84/4,538.16 = 1,962.24/x
  3. Step 3: Cross multiply
    3,288.84x = 4,538.16 × 1,962.24
  4. Step 4: Simplify right side
    3,288.84x = 8,904,959.08
  5. Step 5: Solve for x
    x = 8,904,959.08/3,288.84
  6. Step 6: Final answer
    x = 2,707.63

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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.