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Finding the Fourth Proportional to 2,216.85, 3,039.41 and 2,177.34

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Solution

The fourth proportional to 2,216.85, 3,039.41 and 2,177.34 is: 2,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.85 : 3,039.41 = 2,177.34 : x
  2. Step 2: Convert to fraction form
    2,216.85/3,039.41 = 2,177.34/x
  3. Step 3: Cross multiply
    2,216.85x = 3,039.41 × 2,177.34
  4. Step 4: Simplify right side
    2,216.85x = 6,617,828.97
  5. Step 5: Solve for x
    x = 6,617,828.97/2,216.85
  6. Step 6: Final answer
    x = 2,985.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.