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Finding the Fourth Proportional to 1,661.33, 2,491.99 and 1,559.84

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Solution

The fourth proportional to 1,661.33, 2,491.99 and 1,559.84 is: 2,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.33 : 2,491.99 = 1,559.84 : x
  2. Step 2: Convert to fraction form
    1,661.33/2,491.99 = 1,559.84/x
  3. Step 3: Cross multiply
    1,661.33x = 2,491.99 × 1,559.84
  4. Step 4: Simplify right side
    1,661.33x = 3,887,095.17
  5. Step 5: Solve for x
    x = 3,887,095.17/1,661.33
  6. Step 6: Final answer
    x = 2,339.76

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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.