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Finding the Fourth Proportional to 1,740.96, 2,611.85 and 767.12

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Solution

The fourth proportional to 1,740.96, 2,611.85 and 767.12 is: 1,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.96 : 2,611.85 = 767.12 : x
  2. Step 2: Convert to fraction form
    1,740.96/2,611.85 = 767.12/x
  3. Step 3: Cross multiply
    1,740.96x = 2,611.85 × 767.12
  4. Step 4: Simplify right side
    1,740.96x = 2,003,585.48
  5. Step 5: Solve for x
    x = 2,003,585.48/1,740.96
  6. Step 6: Final answer
    x = 1,150.85

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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.