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Finding the Fourth Proportional to 3,168.61, 4,372.94 and 1,824.64

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Solution

The fourth proportional to 3,168.61, 4,372.94 and 1,824.64 is: 2,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.61 : 4,372.94 = 1,824.64 : x
  2. Step 2: Convert to fraction form
    3,168.61/4,372.94 = 1,824.64/x
  3. Step 3: Cross multiply
    3,168.61x = 4,372.94 × 1,824.64
  4. Step 4: Simplify right side
    3,168.61x = 7,979,041.24
  5. Step 5: Solve for x
    x = 7,979,041.24/3,168.61
  6. Step 6: Final answer
    x = 2,518.15

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Why These Related Problems?

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