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Finding the Fourth Proportional to 2,362.09, 3,543.82 and 901.36

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Solution

The fourth proportional to 2,362.09, 3,543.82 and 901.36 is: 1,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.09 : 3,543.82 = 901.36 : x
  2. Step 2: Convert to fraction form
    2,362.09/3,543.82 = 901.36/x
  3. Step 3: Cross multiply
    2,362.09x = 3,543.82 × 901.36
  4. Step 4: Simplify right side
    2,362.09x = 3,194,257.60
  5. Step 5: Solve for x
    x = 3,194,257.60/2,362.09
  6. Step 6: Final answer
    x = 1,352.30

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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.