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Finding the Fourth Proportional to 3,200.48, 4,415.24 and 1,873.30

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Solution

The fourth proportional to 3,200.48, 4,415.24 and 1,873.30 is: 2,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.48 : 4,415.24 = 1,873.30 : x
  2. Step 2: Convert to fraction form
    3,200.48/4,415.24 = 1,873.30/x
  3. Step 3: Cross multiply
    3,200.48x = 4,415.24 × 1,873.30
  4. Step 4: Simplify right side
    3,200.48x = 8,271,069.09
  5. Step 5: Solve for x
    x = 8,271,069.09/3,200.48
  6. Step 6: Final answer
    x = 2,584.32

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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.