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Finding the Fourth Proportional to 2,354.08, 3,528.96 and 814

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Solution

The fourth proportional to 2,354.08, 3,528.96 and 814 is: 1,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.08 : 3,528.96 = 814 : x
  2. Step 2: Convert to fraction form
    2,354.08/3,528.96 = 814/x
  3. Step 3: Cross multiply
    2,354.08x = 3,528.96 × 814
  4. Step 4: Simplify right side
    2,354.08x = 2,872,573.44
  5. Step 5: Solve for x
    x = 2,872,573.44/2,354.08
  6. Step 6: Final answer
    x = 1,220.25

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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.