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Finding the Fourth Proportional to 2,474.84, 3,410.46 and 1,846.08

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Solution

The fourth proportional to 2,474.84, 3,410.46 and 1,846.08 is: 2,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.84 : 3,410.46 = 1,846.08 : x
  2. Step 2: Convert to fraction form
    2,474.84/3,410.46 = 1,846.08/x
  3. Step 3: Cross multiply
    2,474.84x = 3,410.46 × 1,846.08
  4. Step 4: Simplify right side
    2,474.84x = 6,295,982.00
  5. Step 5: Solve for x
    x = 6,295,982.00/2,474.84
  6. Step 6: Final answer
    x = 2,544.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.