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Finding the Fourth Proportional to 2,160.51, 3,238.89 and 1,833.58

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Solution

The fourth proportional to 2,160.51, 3,238.89 and 1,833.58 is: 2,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.51 : 3,238.89 = 1,833.58 : x
  2. Step 2: Convert to fraction form
    2,160.51/3,238.89 = 1,833.58/x
  3. Step 3: Cross multiply
    2,160.51x = 3,238.89 × 1,833.58
  4. Step 4: Simplify right side
    2,160.51x = 5,938,763.93
  5. Step 5: Solve for x
    x = 5,938,763.93/2,160.51
  6. Step 6: Final answer
    x = 2,748.78

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