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Finding the Fourth Proportional to 2,160.69, 2,980.81 and 1,321.43

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Solution

The fourth proportional to 2,160.69, 2,980.81 and 1,321.43 is: 1,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.69 : 2,980.81 = 1,321.43 : x
  2. Step 2: Convert to fraction form
    2,160.69/2,980.81 = 1,321.43/x
  3. Step 3: Cross multiply
    2,160.69x = 2,980.81 × 1,321.43
  4. Step 4: Simplify right side
    2,160.69x = 3,938,918.51
  5. Step 5: Solve for x
    x = 3,938,918.51/2,160.69
  6. Step 6: Final answer
    x = 1,822.99

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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.