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Finding the Fourth Proportional to 2,294.96, 3,440.52 and 926.64

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Solution

The fourth proportional to 2,294.96, 3,440.52 and 926.64 is: 1,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.96 : 3,440.52 = 926.64 : x
  2. Step 2: Convert to fraction form
    2,294.96/3,440.52 = 926.64/x
  3. Step 3: Cross multiply
    2,294.96x = 3,440.52 × 926.64
  4. Step 4: Simplify right side
    2,294.96x = 3,188,123.45
  5. Step 5: Solve for x
    x = 3,188,123.45/2,294.96
  6. Step 6: Final answer
    x = 1,389.18

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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.