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Finding the Fourth Proportional to 2,476.58, 3,716.47 and 1,072.36

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Solution

The fourth proportional to 2,476.58, 3,716.47 and 1,072.36 is: 1,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.58 : 3,716.47 = 1,072.36 : x
  2. Step 2: Convert to fraction form
    2,476.58/3,716.47 = 1,072.36/x
  3. Step 3: Cross multiply
    2,476.58x = 3,716.47 × 1,072.36
  4. Step 4: Simplify right side
    2,476.58x = 3,985,416.73
  5. Step 5: Solve for x
    x = 3,985,416.73/2,476.58
  6. Step 6: Final answer
    x = 1,609.24

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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.