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Finding the Fourth Proportional to 1,971.89, 2,721.80 and 1,175.79

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Solution

The fourth proportional to 1,971.89, 2,721.80 and 1,175.79 is: 1,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.89 : 2,721.80 = 1,175.79 : x
  2. Step 2: Convert to fraction form
    1,971.89/2,721.80 = 1,175.79/x
  3. Step 3: Cross multiply
    1,971.89x = 2,721.80 × 1,175.79
  4. Step 4: Simplify right side
    1,971.89x = 3,200,259.34
  5. Step 5: Solve for x
    x = 3,200,259.34/1,971.89
  6. Step 6: Final answer
    x = 1,622.94

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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.