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Finding the Fourth Proportional to 2,553.41, 3,523.91 and 1,434.40

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Solution

The fourth proportional to 2,553.41, 3,523.91 and 1,434.40 is: 1,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.41 : 3,523.91 = 1,434.40 : x
  2. Step 2: Convert to fraction form
    2,553.41/3,523.91 = 1,434.40/x
  3. Step 3: Cross multiply
    2,553.41x = 3,523.91 × 1,434.40
  4. Step 4: Simplify right side
    2,553.41x = 5,054,680.52
  5. Step 5: Solve for x
    x = 5,054,680.52/2,553.41
  6. Step 6: Final answer
    x = 1,979.58

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