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Finding the Fourth Proportional to 1,980.86, 2,731.52 and 1,383.89

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Solution

The fourth proportional to 1,980.86, 2,731.52 and 1,383.89 is: 1,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.86 : 2,731.52 = 1,383.89 : x
  2. Step 2: Convert to fraction form
    1,980.86/2,731.52 = 1,383.89/x
  3. Step 3: Cross multiply
    1,980.86x = 2,731.52 × 1,383.89
  4. Step 4: Simplify right side
    1,980.86x = 3,780,113.01
  5. Step 5: Solve for x
    x = 3,780,113.01/1,980.86
  6. Step 6: Final answer
    x = 1,908.32

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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.