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Finding the Fourth Proportional to 2,849.25, 4,273.64 and 901.47

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Solution

The fourth proportional to 2,849.25, 4,273.64 and 901.47 is: 1,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.25 : 4,273.64 = 901.47 : x
  2. Step 2: Convert to fraction form
    2,849.25/4,273.64 = 901.47/x
  3. Step 3: Cross multiply
    2,849.25x = 4,273.64 × 901.47
  4. Step 4: Simplify right side
    2,849.25x = 3,852,558.25
  5. Step 5: Solve for x
    x = 3,852,558.25/2,849.25
  6. Step 6: Final answer
    x = 1,352.13

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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.