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Finding the Fourth Proportional to 2,353, 3,528.26 and 1,036.20

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Solution

The fourth proportional to 2,353, 3,528.26 and 1,036.20 is: 1,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353 : 3,528.26 = 1,036.20 : x
  2. Step 2: Convert to fraction form
    2,353/3,528.26 = 1,036.20/x
  3. Step 3: Cross multiply
    2,353x = 3,528.26 × 1,036.20
  4. Step 4: Simplify right side
    2,353x = 3,655,983.01
  5. Step 5: Solve for x
    x = 3,655,983.01/2,353
  6. Step 6: Final answer
    x = 1,553.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.