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Finding the Fourth Proportional to 3,200.15, 4,416.04 and 1,802.81

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Solution

The fourth proportional to 3,200.15, 4,416.04 and 1,802.81 is: 2,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.15 : 4,416.04 = 1,802.81 : x
  2. Step 2: Convert to fraction form
    3,200.15/4,416.04 = 1,802.81/x
  3. Step 3: Cross multiply
    3,200.15x = 4,416.04 × 1,802.81
  4. Step 4: Simplify right side
    3,200.15x = 7,961,294.37
  5. Step 5: Solve for x
    x = 7,961,294.37/3,200.15
  6. Step 6: Final answer
    x = 2,487.79

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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.