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Finding the Fourth Proportional to 2,340.41, 3,511.04 and 674.45

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Solution

The fourth proportional to 2,340.41, 3,511.04 and 674.45 is: 1,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.41 : 3,511.04 = 674.45 : x
  2. Step 2: Convert to fraction form
    2,340.41/3,511.04 = 674.45/x
  3. Step 3: Cross multiply
    2,340.41x = 3,511.04 × 674.45
  4. Step 4: Simplify right side
    2,340.41x = 2,368,026.33
  5. Step 5: Solve for x
    x = 2,368,026.33/2,340.41
  6. Step 6: Final answer
    x = 1,011.80

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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.