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Finding the Fourth Proportional to 1,988.96, 2,745.08 and 1,203.44

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Solution

The fourth proportional to 1,988.96, 2,745.08 and 1,203.44 is: 1,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.96 : 2,745.08 = 1,203.44 : x
  2. Step 2: Convert to fraction form
    1,988.96/2,745.08 = 1,203.44/x
  3. Step 3: Cross multiply
    1,988.96x = 2,745.08 × 1,203.44
  4. Step 4: Simplify right side
    1,988.96x = 3,303,539.08
  5. Step 5: Solve for x
    x = 3,303,539.08/1,988.96
  6. Step 6: Final answer
    x = 1,660.94

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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.