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Finding the Fourth Proportional to 2,766.41, 3,818.10 and 1,587.26

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Solution

The fourth proportional to 2,766.41, 3,818.10 and 1,587.26 is: 2,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.41 : 3,818.10 = 1,587.26 : x
  2. Step 2: Convert to fraction form
    2,766.41/3,818.10 = 1,587.26/x
  3. Step 3: Cross multiply
    2,766.41x = 3,818.10 × 1,587.26
  4. Step 4: Simplify right side
    2,766.41x = 6,060,317.41
  5. Step 5: Solve for x
    x = 6,060,317.41/2,766.41
  6. Step 6: Final answer
    x = 2,190.68

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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.