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Finding the Fourth Proportional to 2,661.84, 3,997.08 and 1,642.32

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Solution

The fourth proportional to 2,661.84, 3,997.08 and 1,642.32 is: 2,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,997.08 = 1,642.32 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,997.08 = 1,642.32/x
  3. Step 3: Cross multiply
    2,661.84x = 3,997.08 × 1,642.32
  4. Step 4: Simplify right side
    2,661.84x = 6,564,484.43
  5. Step 5: Solve for x
    x = 6,564,484.43/2,661.84
  6. Step 6: Final answer
    x = 2,466.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.