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Finding the Fourth Proportional to 2,354.54, 3,532.95 and 968.29

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Solution

The fourth proportional to 2,354.54, 3,532.95 and 968.29 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.54 : 3,532.95 = 968.29 : x
  2. Step 2: Convert to fraction form
    2,354.54/3,532.95 = 968.29/x
  3. Step 3: Cross multiply
    2,354.54x = 3,532.95 × 968.29
  4. Step 4: Simplify right side
    2,354.54x = 3,420,907.69
  5. Step 5: Solve for x
    x = 3,420,907.69/2,354.54
  6. Step 6: Final answer
    x = 1,452.90

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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.