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Finding the Fourth Proportional to 2,264.19, 3,122.06 and 2,173.47

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Solution

The fourth proportional to 2,264.19, 3,122.06 and 2,173.47 is: 2,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.19 : 3,122.06 = 2,173.47 : x
  2. Step 2: Convert to fraction form
    2,264.19/3,122.06 = 2,173.47/x
  3. Step 3: Cross multiply
    2,264.19x = 3,122.06 × 2,173.47
  4. Step 4: Simplify right side
    2,264.19x = 6,785,692.88
  5. Step 5: Solve for x
    x = 6,785,692.88/2,264.19
  6. Step 6: Final answer
    x = 2,996.96

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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.