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Finding the Fourth Proportional to 1,971.69, 2,720.79 and 1,186.17

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Solution

The fourth proportional to 1,971.69, 2,720.79 and 1,186.17 is: 1,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.69 : 2,720.79 = 1,186.17 : x
  2. Step 2: Convert to fraction form
    1,971.69/2,720.79 = 1,186.17/x
  3. Step 3: Cross multiply
    1,971.69x = 2,720.79 × 1,186.17
  4. Step 4: Simplify right side
    1,971.69x = 3,227,319.47
  5. Step 5: Solve for x
    x = 3,227,319.47/1,971.69
  6. Step 6: Final answer
    x = 1,636.83

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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.