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Finding the Fourth Proportional to 4,662.49, 6,992.96 and 1,374.81

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Solution

The fourth proportional to 4,662.49, 6,992.96 and 1,374.81 is: 2,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.49 : 6,992.96 = 1,374.81 : x
  2. Step 2: Convert to fraction form
    4,662.49/6,992.96 = 1,374.81/x
  3. Step 3: Cross multiply
    4,662.49x = 6,992.96 × 1,374.81
  4. Step 4: Simplify right side
    4,662.49x = 9,613,991.34
  5. Step 5: Solve for x
    x = 9,613,991.34/4,662.49
  6. Step 6: Final answer
    x = 2,061.99

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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.