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Finding the Fourth Proportional to 2,264.94, 3,123.09 and 2,174.22

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Solution

The fourth proportional to 2,264.94, 3,123.09 and 2,174.22 is: 2,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.94 : 3,123.09 = 2,174.22 : x
  2. Step 2: Convert to fraction form
    2,264.94/3,123.09 = 2,174.22/x
  3. Step 3: Cross multiply
    2,264.94x = 3,123.09 × 2,174.22
  4. Step 4: Simplify right side
    2,264.94x = 6,790,284.74
  5. Step 5: Solve for x
    x = 6,790,284.74/2,264.94
  6. Step 6: Final answer
    x = 2,998.00

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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.