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Finding the Fourth Proportional to 1,980.48, 2,733.17 and 1,141.19

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Solution

The fourth proportional to 1,980.48, 2,733.17 and 1,141.19 is: 1,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.48 : 2,733.17 = 1,141.19 : x
  2. Step 2: Convert to fraction form
    1,980.48/2,733.17 = 1,141.19/x
  3. Step 3: Cross multiply
    1,980.48x = 2,733.17 × 1,141.19
  4. Step 4: Simplify right side
    1,980.48x = 3,119,066.27
  5. Step 5: Solve for x
    x = 3,119,066.27/1,980.48
  6. Step 6: Final answer
    x = 1,574.90

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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.