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Finding the Fourth Proportional to 3,199.56, 4,415.52 and 1,802.40

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Solution

The fourth proportional to 3,199.56, 4,415.52 and 1,802.40 is: 2,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.56 : 4,415.52 = 1,802.40 : x
  2. Step 2: Convert to fraction form
    3,199.56/4,415.52 = 1,802.40/x
  3. Step 3: Cross multiply
    3,199.56x = 4,415.52 × 1,802.40
  4. Step 4: Simplify right side
    3,199.56x = 7,958,533.25
  5. Step 5: Solve for x
    x = 7,958,533.25/3,199.56
  6. Step 6: Final answer
    x = 2,487.38

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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.