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Finding the Fourth Proportional to 2,764.40, 4,141.33 and 2,210.22

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Solution

The fourth proportional to 2,764.40, 4,141.33 and 2,210.22 is: 3,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.40 : 4,141.33 = 2,210.22 : x
  2. Step 2: Convert to fraction form
    2,764.40/4,141.33 = 2,210.22/x
  3. Step 3: Cross multiply
    2,764.40x = 4,141.33 × 2,210.22
  4. Step 4: Simplify right side
    2,764.40x = 9,153,244.87
  5. Step 5: Solve for x
    x = 9,153,244.87/2,764.40
  6. Step 6: Final answer
    x = 3,311.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.