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Finding the Fourth Proportional to 2,653.30, 3,661.37 and 1,474.30

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Solution

The fourth proportional to 2,653.30, 3,661.37 and 1,474.30 is: 2,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.30 : 3,661.37 = 1,474.30 : x
  2. Step 2: Convert to fraction form
    2,653.30/3,661.37 = 1,474.30/x
  3. Step 3: Cross multiply
    2,653.30x = 3,661.37 × 1,474.30
  4. Step 4: Simplify right side
    2,653.30x = 5,397,957.79
  5. Step 5: Solve for x
    x = 5,397,957.79/2,653.30
  6. Step 6: Final answer
    x = 2,034.43

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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.