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Finding the Fourth Proportional to 2,259.99, 3,116.75 and 1,866.33

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Solution

The fourth proportional to 2,259.99, 3,116.75 and 1,866.33 is: 2,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.99 : 3,116.75 = 1,866.33 : x
  2. Step 2: Convert to fraction form
    2,259.99/3,116.75 = 1,866.33/x
  3. Step 3: Cross multiply
    2,259.99x = 3,116.75 × 1,866.33
  4. Step 4: Simplify right side
    2,259.99x = 5,816,874.70
  5. Step 5: Solve for x
    x = 5,816,874.70/2,259.99
  6. Step 6: Final answer
    x = 2,573.85

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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.