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Finding the Fourth Proportional to 2,017.47, 3,002.89 and 1,972.11

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Solution

The fourth proportional to 2,017.47, 3,002.89 and 1,972.11 is: 2,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.47 : 3,002.89 = 1,972.11 : x
  2. Step 2: Convert to fraction form
    2,017.47/3,002.89 = 1,972.11/x
  3. Step 3: Cross multiply
    2,017.47x = 3,002.89 × 1,972.11
  4. Step 4: Simplify right side
    2,017.47x = 5,922,029.40
  5. Step 5: Solve for x
    x = 5,922,029.40/2,017.47
  6. Step 6: Final answer
    x = 2,935.37

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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.