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Finding the Fourth Proportional to 1,980.62, 2,733.71 and 1,141.81

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Solution

The fourth proportional to 1,980.62, 2,733.71 and 1,141.81 is: 1,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.62 : 2,733.71 = 1,141.81 : x
  2. Step 2: Convert to fraction form
    1,980.62/2,733.71 = 1,141.81/x
  3. Step 3: Cross multiply
    1,980.62x = 2,733.71 × 1,141.81
  4. Step 4: Simplify right side
    1,980.62x = 3,121,364.87
  5. Step 5: Solve for x
    x = 3,121,364.87/1,980.62
  6. Step 6: Final answer
    x = 1,575.95

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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.