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Finding the Fourth Proportional to 2,766.76, 3,818.36 and 1,588.21

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Solution

The fourth proportional to 2,766.76, 3,818.36 and 1,588.21 is: 2,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.76 : 3,818.36 = 1,588.21 : x
  2. Step 2: Convert to fraction form
    2,766.76/3,818.36 = 1,588.21/x
  3. Step 3: Cross multiply
    2,766.76x = 3,818.36 × 1,588.21
  4. Step 4: Simplify right side
    2,766.76x = 6,064,357.54
  5. Step 5: Solve for x
    x = 6,064,357.54/2,766.76
  6. Step 6: Final answer
    x = 2,191.86

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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.