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Finding the Fourth Proportional to 3,199.96, 4,416.02 and 1,802.71

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Solution

The fourth proportional to 3,199.96, 4,416.02 and 1,802.71 is: 2,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.96 : 4,416.02 = 1,802.71 : x
  2. Step 2: Convert to fraction form
    3,199.96/4,416.02 = 1,802.71/x
  3. Step 3: Cross multiply
    3,199.96x = 4,416.02 × 1,802.71
  4. Step 4: Simplify right side
    3,199.96x = 7,960,803.41
  5. Step 5: Solve for x
    x = 7,960,803.41/3,199.96
  6. Step 6: Final answer
    x = 2,487.78

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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.