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Finding the Fourth Proportional to 3,071.97, 4,237.43 and 2,328.80

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Solution

The fourth proportional to 3,071.97, 4,237.43 and 2,328.80 is: 3,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.97 : 4,237.43 = 2,328.80 : x
  2. Step 2: Convert to fraction form
    3,071.97/4,237.43 = 2,328.80/x
  3. Step 3: Cross multiply
    3,071.97x = 4,237.43 × 2,328.80
  4. Step 4: Simplify right side
    3,071.97x = 9,868,094.15
  5. Step 5: Solve for x
    x = 9,868,094.15/3,071.97
  6. Step 6: Final answer
    x = 3,212.30

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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.