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Finding the Fourth Proportional to 2,663.24, 3,994.59 and 715.19

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Solution

The fourth proportional to 2,663.24, 3,994.59 and 715.19 is: 1,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.24 : 3,994.59 = 715.19 : x
  2. Step 2: Convert to fraction form
    2,663.24/3,994.59 = 715.19/x
  3. Step 3: Cross multiply
    2,663.24x = 3,994.59 × 715.19
  4. Step 4: Simplify right side
    2,663.24x = 2,856,890.82
  5. Step 5: Solve for x
    x = 2,856,890.82/2,663.24
  6. Step 6: Final answer
    x = 1,072.71

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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.