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Finding the Fourth Proportional to 2,274.36, 3,139.02 and 1,653

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Solution

The fourth proportional to 2,274.36, 3,139.02 and 1,653 is: 2,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.36 : 3,139.02 = 1,653 : x
  2. Step 2: Convert to fraction form
    2,274.36/3,139.02 = 1,653/x
  3. Step 3: Cross multiply
    2,274.36x = 3,139.02 × 1,653
  4. Step 4: Simplify right side
    2,274.36x = 5,188,800.06
  5. Step 5: Solve for x
    x = 5,188,800.06/2,274.36
  6. Step 6: Final answer
    x = 2,281.43

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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.