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Finding the Fourth Proportional to 2,354.12, 3,532.24 and 968.52

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Solution

The fourth proportional to 2,354.12, 3,532.24 and 968.52 is: 1,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.12 : 3,532.24 = 968.52 : x
  2. Step 2: Convert to fraction form
    2,354.12/3,532.24 = 968.52/x
  3. Step 3: Cross multiply
    2,354.12x = 3,532.24 × 968.52
  4. Step 4: Simplify right side
    2,354.12x = 3,421,045.08
  5. Step 5: Solve for x
    x = 3,421,045.08/2,354.12
  6. Step 6: Final answer
    x = 1,453.22

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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.