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Finding the Fourth Proportional to 4,781.80, 7,171.89 and 1,661.68

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Solution

The fourth proportional to 4,781.80, 7,171.89 and 1,661.68 is: 2,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.80 : 7,171.89 = 1,661.68 : x
  2. Step 2: Convert to fraction form
    4,781.80/7,171.89 = 1,661.68/x
  3. Step 3: Cross multiply
    4,781.80x = 7,171.89 × 1,661.68
  4. Step 4: Simplify right side
    4,781.80x = 11,917,386.18
  5. Step 5: Solve for x
    x = 11,917,386.18/4,781.80
  6. Step 6: Final answer
    x = 2,492.24

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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.