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Finding the Fourth Proportional to 2,373, 3,274.80 and 1,325.04

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Solution

The fourth proportional to 2,373, 3,274.80 and 1,325.04 is: 1,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373 : 3,274.80 = 1,325.04 : x
  2. Step 2: Convert to fraction form
    2,373/3,274.80 = 1,325.04/x
  3. Step 3: Cross multiply
    2,373x = 3,274.80 × 1,325.04
  4. Step 4: Simplify right side
    2,373x = 4,339,240.99
  5. Step 5: Solve for x
    x = 4,339,240.99/2,373
  6. Step 6: Final answer
    x = 1,828.59

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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.