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Finding the Fourth Proportional to 2,537.63, 3,808.07 and 1,238.39

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Solution

The fourth proportional to 2,537.63, 3,808.07 and 1,238.39 is: 1,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.63 : 3,808.07 = 1,238.39 : x
  2. Step 2: Convert to fraction form
    2,537.63/3,808.07 = 1,238.39/x
  3. Step 3: Cross multiply
    2,537.63x = 3,808.07 × 1,238.39
  4. Step 4: Simplify right side
    2,537.63x = 4,715,875.81
  5. Step 5: Solve for x
    x = 4,715,875.81/2,537.63
  6. Step 6: Final answer
    x = 1,858.38

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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.