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Finding the Fourth Proportional to 2,963.49, 4,085.04 and 2,216.31

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Solution

The fourth proportional to 2,963.49, 4,085.04 and 2,216.31 is: 3,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.49 : 4,085.04 = 2,216.31 : x
  2. Step 2: Convert to fraction form
    2,963.49/4,085.04 = 2,216.31/x
  3. Step 3: Cross multiply
    2,963.49x = 4,085.04 × 2,216.31
  4. Step 4: Simplify right side
    2,963.49x = 9,053,715.00
  5. Step 5: Solve for x
    x = 9,053,715.00/2,963.49
  6. Step 6: Final answer
    x = 3,055.09

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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.