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Finding the Fourth Proportional to 2,160.88, 3,243.34 and 991.51

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Solution

The fourth proportional to 2,160.88, 3,243.34 and 991.51 is: 1,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.88 : 3,243.34 = 991.51 : x
  2. Step 2: Convert to fraction form
    2,160.88/3,243.34 = 991.51/x
  3. Step 3: Cross multiply
    2,160.88x = 3,243.34 × 991.51
  4. Step 4: Simplify right side
    2,160.88x = 3,215,804.04
  5. Step 5: Solve for x
    x = 3,215,804.04/2,160.88
  6. Step 6: Final answer
    x = 1,488.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.