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Finding the Fourth Proportional to 2,476.41, 3,710.71 and 914.26

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Solution

The fourth proportional to 2,476.41, 3,710.71 and 914.26 is: 1,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.41 : 3,710.71 = 914.26 : x
  2. Step 2: Convert to fraction form
    2,476.41/3,710.71 = 914.26/x
  3. Step 3: Cross multiply
    2,476.41x = 3,710.71 × 914.26
  4. Step 4: Simplify right side
    2,476.41x = 3,392,553.72
  5. Step 5: Solve for x
    x = 3,392,553.72/2,476.41
  6. Step 6: Final answer
    x = 1,369.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.