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Finding the Fourth Proportional to 2,849.86, 4,275.64 and 902.08

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Solution

The fourth proportional to 2,849.86, 4,275.64 and 902.08 is: 1,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.86 : 4,275.64 = 902.08 : x
  2. Step 2: Convert to fraction form
    2,849.86/4,275.64 = 902.08/x
  3. Step 3: Cross multiply
    2,849.86x = 4,275.64 × 902.08
  4. Step 4: Simplify right side
    2,849.86x = 3,856,969.33
  5. Step 5: Solve for x
    x = 3,856,969.33/2,849.86
  6. Step 6: Final answer
    x = 1,353.39

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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.