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Finding the Fourth Proportional to 2,456.94, 3,689.43 and 1,614.00

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Solution

The fourth proportional to 2,456.94, 3,689.43 and 1,614.00 is: 2,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.94 : 3,689.43 = 1,614.00 : x
  2. Step 2: Convert to fraction form
    2,456.94/3,689.43 = 1,614.00/x
  3. Step 3: Cross multiply
    2,456.94x = 3,689.43 × 1,614.00
  4. Step 4: Simplify right side
    2,456.94x = 5,954,713.50
  5. Step 5: Solve for x
    x = 5,954,713.50/2,456.94
  6. Step 6: Final answer
    x = 2,423.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.