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Finding the Fourth Proportional to 2,764.32, 3,810.96 and 2,206.68

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Solution

The fourth proportional to 2,764.32, 3,810.96 and 2,206.68 is: 3,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.32 : 3,810.96 = 2,206.68 : x
  2. Step 2: Convert to fraction form
    2,764.32/3,810.96 = 2,206.68/x
  3. Step 3: Cross multiply
    2,764.32x = 3,810.96 × 2,206.68
  4. Step 4: Simplify right side
    2,764.32x = 8,409,569.21
  5. Step 5: Solve for x
    x = 8,409,569.21/2,764.32
  6. Step 6: Final answer
    x = 3,042.18

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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.