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Finding the Fourth Proportional to 2,632.03, 3,947.64 and 900.25

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Solution

The fourth proportional to 2,632.03, 3,947.64 and 900.25 is: 1,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.03 : 3,947.64 = 900.25 : x
  2. Step 2: Convert to fraction form
    2,632.03/3,947.64 = 900.25/x
  3. Step 3: Cross multiply
    2,632.03x = 3,947.64 × 900.25
  4. Step 4: Simplify right side
    2,632.03x = 3,553,862.91
  5. Step 5: Solve for x
    x = 3,553,862.91/2,632.03
  6. Step 6: Final answer
    x = 1,350.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.