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Finding the Fourth Proportional to 2,354.38, 3,528.80 and 967.03

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Solution

The fourth proportional to 2,354.38, 3,528.80 and 967.03 is: 1,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.38 : 3,528.80 = 967.03 : x
  2. Step 2: Convert to fraction form
    2,354.38/3,528.80 = 967.03/x
  3. Step 3: Cross multiply
    2,354.38x = 3,528.80 × 967.03
  4. Step 4: Simplify right side
    2,354.38x = 3,412,455.46
  5. Step 5: Solve for x
    x = 3,412,455.46/2,354.38
  6. Step 6: Final answer
    x = 1,449.41

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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.