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Finding the Fourth Proportional to 1,463.26, 2,195.63 and 847.52

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Solution

The fourth proportional to 1,463.26, 2,195.63 and 847.52 is: 1,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.26 : 2,195.63 = 847.52 : x
  2. Step 2: Convert to fraction form
    1,463.26/2,195.63 = 847.52/x
  3. Step 3: Cross multiply
    1,463.26x = 2,195.63 × 847.52
  4. Step 4: Simplify right side
    1,463.26x = 1,860,836.10
  5. Step 5: Solve for x
    x = 1,860,836.10/1,463.26
  6. Step 6: Final answer
    x = 1,271.71

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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.