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Finding the Fourth Proportional to 2,476.82, 3,716.70 and 917.92

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Solution

The fourth proportional to 2,476.82, 3,716.70 and 917.92 is: 1,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.82 : 3,716.70 = 917.92 : x
  2. Step 2: Convert to fraction form
    2,476.82/3,716.70 = 917.92/x
  3. Step 3: Cross multiply
    2,476.82x = 3,716.70 × 917.92
  4. Step 4: Simplify right side
    2,476.82x = 3,411,633.26
  5. Step 5: Solve for x
    x = 3,411,633.26/2,476.82
  6. Step 6: Final answer
    x = 1,377.42

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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.