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Finding the Fourth Proportional to 2,409.46, 3,612.14 and 2,294.64

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Solution

The fourth proportional to 2,409.46, 3,612.14 and 2,294.64 is: 3,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.46 : 3,612.14 = 2,294.64 : x
  2. Step 2: Convert to fraction form
    2,409.46/3,612.14 = 2,294.64/x
  3. Step 3: Cross multiply
    2,409.46x = 3,612.14 × 2,294.64
  4. Step 4: Simplify right side
    2,409.46x = 8,288,558.06
  5. Step 5: Solve for x
    x = 8,288,558.06/2,409.46
  6. Step 6: Final answer
    x = 3,440.01

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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.