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Finding the Fourth Proportional to 2,506.41, 3,761.10 and 1,119.83

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Solution

The fourth proportional to 2,506.41, 3,761.10 and 1,119.83 is: 1,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.41 : 3,761.10 = 1,119.83 : x
  2. Step 2: Convert to fraction form
    2,506.41/3,761.10 = 1,119.83/x
  3. Step 3: Cross multiply
    2,506.41x = 3,761.10 × 1,119.83
  4. Step 4: Simplify right side
    2,506.41x = 4,211,773.81
  5. Step 5: Solve for x
    x = 4,211,773.81/2,506.41
  6. Step 6: Final answer
    x = 1,680.40

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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.