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Finding the Fourth Proportional to 3,188.36, 4,778.49 and 1,802.47

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Solution

The fourth proportional to 3,188.36, 4,778.49 and 1,802.47 is: 2,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.36 : 4,778.49 = 1,802.47 : x
  2. Step 2: Convert to fraction form
    3,188.36/4,778.49 = 1,802.47/x
  3. Step 3: Cross multiply
    3,188.36x = 4,778.49 × 1,802.47
  4. Step 4: Simplify right side
    3,188.36x = 8,613,084.08
  5. Step 5: Solve for x
    x = 8,613,084.08/3,188.36
  6. Step 6: Final answer
    x = 2,701.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.