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Finding the Fourth Proportional to 2,308.56, 3,464.50 and 921.09

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Solution

The fourth proportional to 2,308.56, 3,464.50 and 921.09 is: 1,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.56 : 3,464.50 = 921.09 : x
  2. Step 2: Convert to fraction form
    2,308.56/3,464.50 = 921.09/x
  3. Step 3: Cross multiply
    2,308.56x = 3,464.50 × 921.09
  4. Step 4: Simplify right side
    2,308.56x = 3,191,116.31
  5. Step 5: Solve for x
    x = 3,191,116.31/2,308.56
  6. Step 6: Final answer
    x = 1,382.30

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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.