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Finding the Fourth Proportional to 2,354.96, 3,533.31 and 968.41

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Solution

The fourth proportional to 2,354.96, 3,533.31 and 968.41 is: 1,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.96 : 3,533.31 = 968.41 : x
  2. Step 2: Convert to fraction form
    2,354.96/3,533.31 = 968.41/x
  3. Step 3: Cross multiply
    2,354.96x = 3,533.31 × 968.41
  4. Step 4: Simplify right side
    2,354.96x = 3,421,675.92
  5. Step 5: Solve for x
    x = 3,421,675.92/2,354.96
  6. Step 6: Final answer
    x = 1,452.96

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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.