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Finding the Fourth Proportional to 1,988.60, 2,980.44 and 1,167.48

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Solution

The fourth proportional to 1,988.60, 2,980.44 and 1,167.48 is: 1,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.60 : 2,980.44 = 1,167.48 : x
  2. Step 2: Convert to fraction form
    1,988.60/2,980.44 = 1,167.48/x
  3. Step 3: Cross multiply
    1,988.60x = 2,980.44 × 1,167.48
  4. Step 4: Simplify right side
    1,988.60x = 3,479,604.09
  5. Step 5: Solve for x
    x = 3,479,604.09/1,988.60
  6. Step 6: Final answer
    x = 1,749.78

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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.