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Finding the Fourth Proportional to 1,443.15, 1,990.62 and 1,203.26

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Solution

The fourth proportional to 1,443.15, 1,990.62 and 1,203.26 is: 1,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.15 : 1,990.62 = 1,203.26 : x
  2. Step 2: Convert to fraction form
    1,443.15/1,990.62 = 1,203.26/x
  3. Step 3: Cross multiply
    1,443.15x = 1,990.62 × 1,203.26
  4. Step 4: Simplify right side
    1,443.15x = 2,395,223.47
  5. Step 5: Solve for x
    x = 2,395,223.47/1,443.15
  6. Step 6: Final answer
    x = 1,659.72

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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.