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Finding the Fourth Proportional to 2,016.47, 3,001.40 and 1,971.11

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Solution

The fourth proportional to 2,016.47, 3,001.40 and 1,971.11 is: 2,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.47 : 3,001.40 = 1,971.11 : x
  2. Step 2: Convert to fraction form
    2,016.47/3,001.40 = 1,971.11/x
  3. Step 3: Cross multiply
    2,016.47x = 3,001.40 × 1,971.11
  4. Step 4: Simplify right side
    2,016.47x = 5,916,089.55
  5. Step 5: Solve for x
    x = 5,916,089.55/2,016.47
  6. Step 6: Final answer
    x = 2,933.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.