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Finding the Fourth Proportional to 2,476.26, 3,710.47 and 914.11

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Solution

The fourth proportional to 2,476.26, 3,710.47 and 914.11 is: 1,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.26 : 3,710.47 = 914.11 : x
  2. Step 2: Convert to fraction form
    2,476.26/3,710.47 = 914.11/x
  3. Step 3: Cross multiply
    2,476.26x = 3,710.47 × 914.11
  4. Step 4: Simplify right side
    2,476.26x = 3,391,759.18
  5. Step 5: Solve for x
    x = 3,391,759.18/2,476.26
  6. Step 6: Final answer
    x = 1,369.71

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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.