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Finding the Fourth Proportional to 2,663.84, 3,993.24 and 931.34

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Solution

The fourth proportional to 2,663.84, 3,993.24 and 931.34 is: 1,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.84 : 3,993.24 = 931.34 : x
  2. Step 2: Convert to fraction form
    2,663.84/3,993.24 = 931.34/x
  3. Step 3: Cross multiply
    2,663.84x = 3,993.24 × 931.34
  4. Step 4: Simplify right side
    2,663.84x = 3,719,064.14
  5. Step 5: Solve for x
    x = 3,719,064.14/2,663.84
  6. Step 6: Final answer
    x = 1,396.13

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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.