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Finding the Fourth Proportional to 2,553, 3,523.36 and 1,434.04

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Solution

The fourth proportional to 2,553, 3,523.36 and 1,434.04 is: 1,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553 : 3,523.36 = 1,434.04 : x
  2. Step 2: Convert to fraction form
    2,553/3,523.36 = 1,434.04/x
  3. Step 3: Cross multiply
    2,553x = 3,523.36 × 1,434.04
  4. Step 4: Simplify right side
    2,553x = 5,052,639.17
  5. Step 5: Solve for x
    x = 5,052,639.17/2,553
  6. Step 6: Final answer
    x = 1,979.10

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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.