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Finding the Fourth Proportional to 1,336.61, 2,003.15 and 967.65

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Solution

The fourth proportional to 1,336.61, 2,003.15 and 967.65 is: 1,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.61 : 2,003.15 = 967.65 : x
  2. Step 2: Convert to fraction form
    1,336.61/2,003.15 = 967.65/x
  3. Step 3: Cross multiply
    1,336.61x = 2,003.15 × 967.65
  4. Step 4: Simplify right side
    1,336.61x = 1,938,338.25
  5. Step 5: Solve for x
    x = 1,938,338.25/1,336.61
  6. Step 6: Final answer
    x = 1,450.19

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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.