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Finding the Fourth Proportional to 1,403.26, 1,932.15 and 1,203.82

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Solution

The fourth proportional to 1,403.26, 1,932.15 and 1,203.82 is: 1,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.26 : 1,932.15 = 1,203.82 : x
  2. Step 2: Convert to fraction form
    1,403.26/1,932.15 = 1,203.82/x
  3. Step 3: Cross multiply
    1,403.26x = 1,932.15 × 1,203.82
  4. Step 4: Simplify right side
    1,403.26x = 2,325,960.81
  5. Step 5: Solve for x
    x = 2,325,960.81/1,403.26
  6. Step 6: Final answer
    x = 1,657.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.