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Finding the Fourth Proportional to 2,409.59, 3,614.82 and 849.64

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Solution

The fourth proportional to 2,409.59, 3,614.82 and 849.64 is: 1,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.59 : 3,614.82 = 849.64 : x
  2. Step 2: Convert to fraction form
    2,409.59/3,614.82 = 849.64/x
  3. Step 3: Cross multiply
    2,409.59x = 3,614.82 × 849.64
  4. Step 4: Simplify right side
    2,409.59x = 3,071,277.59
  5. Step 5: Solve for x
    x = 3,071,277.59/2,409.59
  6. Step 6: Final answer
    x = 1,274.61

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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.