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Finding the Fourth Proportional to 2,473.72, 3,707.70 and 2,012.33

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Solution

The fourth proportional to 2,473.72, 3,707.70 and 2,012.33 is: 3,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.72 : 3,707.70 = 2,012.33 : x
  2. Step 2: Convert to fraction form
    2,473.72/3,707.70 = 2,012.33/x
  3. Step 3: Cross multiply
    2,473.72x = 3,707.70 × 2,012.33
  4. Step 4: Simplify right side
    2,473.72x = 7,461,087.34
  5. Step 5: Solve for x
    x = 7,461,087.34/2,473.72
  6. Step 6: Final answer
    x = 3,016.14

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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.