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Finding the Fourth Proportional to 2,672.07, 4,008.74 and 917.16

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Solution

The fourth proportional to 2,672.07, 4,008.74 and 917.16 is: 1,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.07 : 4,008.74 = 917.16 : x
  2. Step 2: Convert to fraction form
    2,672.07/4,008.74 = 917.16/x
  3. Step 3: Cross multiply
    2,672.07x = 4,008.74 × 917.16
  4. Step 4: Simplify right side
    2,672.07x = 3,676,651.39
  5. Step 5: Solve for x
    x = 3,676,651.39/2,672.07
  6. Step 6: Final answer
    x = 1,375.96

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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.