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Finding the Fourth Proportional to 2,453.79, 3,680.72 and 873.77

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Solution

The fourth proportional to 2,453.79, 3,680.72 and 873.77 is: 1,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.79 : 3,680.72 = 873.77 : x
  2. Step 2: Convert to fraction form
    2,453.79/3,680.72 = 873.77/x
  3. Step 3: Cross multiply
    2,453.79x = 3,680.72 × 873.77
  4. Step 4: Simplify right side
    2,453.79x = 3,216,079.94
  5. Step 5: Solve for x
    x = 3,216,079.94/2,453.79
  6. Step 6: Final answer
    x = 1,310.66

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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.