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Finding the Fourth Proportional to 1,980.65, 2,732.81 and 1,129.95

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Solution

The fourth proportional to 1,980.65, 2,732.81 and 1,129.95 is: 1,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.65 : 2,732.81 = 1,129.95 : x
  2. Step 2: Convert to fraction form
    1,980.65/2,732.81 = 1,129.95/x
  3. Step 3: Cross multiply
    1,980.65x = 2,732.81 × 1,129.95
  4. Step 4: Simplify right side
    1,980.65x = 3,087,933.01
  5. Step 5: Solve for x
    x = 3,087,933.01/1,980.65
  6. Step 6: Final answer
    x = 1,559.05

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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.