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Finding the Fourth Proportional to 2,160.31, 3,239.66 and 1,698.99

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Solution

The fourth proportional to 2,160.31, 3,239.66 and 1,698.99 is: 2,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.31 : 3,239.66 = 1,698.99 : x
  2. Step 2: Convert to fraction form
    2,160.31/3,239.66 = 1,698.99/x
  3. Step 3: Cross multiply
    2,160.31x = 3,239.66 × 1,698.99
  4. Step 4: Simplify right side
    2,160.31x = 5,504,149.94
  5. Step 5: Solve for x
    x = 5,504,149.94/2,160.31
  6. Step 6: Final answer
    x = 2,547.85

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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.