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Finding the Fourth Proportional to 1,617.86, 2,424.23 and 967.78

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Solution

The fourth proportional to 1,617.86, 2,424.23 and 967.78 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.86 : 2,424.23 = 967.78 : x
  2. Step 2: Convert to fraction form
    1,617.86/2,424.23 = 967.78/x
  3. Step 3: Cross multiply
    1,617.86x = 2,424.23 × 967.78
  4. Step 4: Simplify right side
    1,617.86x = 2,346,121.31
  5. Step 5: Solve for x
    x = 2,346,121.31/1,617.86
  6. Step 6: Final answer
    x = 1,450.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.