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Finding the Fourth Proportional to 2,467.53, 3,701.48 and 778.79

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Solution

The fourth proportional to 2,467.53, 3,701.48 and 778.79 is: 1,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.53 : 3,701.48 = 778.79 : x
  2. Step 2: Convert to fraction form
    2,467.53/3,701.48 = 778.79/x
  3. Step 3: Cross multiply
    2,467.53x = 3,701.48 × 778.79
  4. Step 4: Simplify right side
    2,467.53x = 2,882,653.21
  5. Step 5: Solve for x
    x = 2,882,653.21/2,467.53
  6. Step 6: Final answer
    x = 1,168.23

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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.