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Finding the Fourth Proportional to 2,473.47, 3,712.01 and 1,992.33

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Solution

The fourth proportional to 2,473.47, 3,712.01 and 1,992.33 is: 2,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.47 : 3,712.01 = 1,992.33 : x
  2. Step 2: Convert to fraction form
    2,473.47/3,712.01 = 1,992.33/x
  3. Step 3: Cross multiply
    2,473.47x = 3,712.01 × 1,992.33
  4. Step 4: Simplify right side
    2,473.47x = 7,395,538.92
  5. Step 5: Solve for x
    x = 7,395,538.92/2,473.47
  6. Step 6: Final answer
    x = 2,989.94

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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.