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Finding the Fourth Proportional to 2,903.08, 4,354.94 and 851.08

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Solution

The fourth proportional to 2,903.08, 4,354.94 and 851.08 is: 1,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.08 : 4,354.94 = 851.08 : x
  2. Step 2: Convert to fraction form
    2,903.08/4,354.94 = 851.08/x
  3. Step 3: Cross multiply
    2,903.08x = 4,354.94 × 851.08
  4. Step 4: Simplify right side
    2,903.08x = 3,706,402.34
  5. Step 5: Solve for x
    x = 3,706,402.34/2,903.08
  6. Step 6: Final answer
    x = 1,276.71

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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.