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Finding the Fourth Proportional to 1,767.73, 2,438.52 and 1,059.37

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Solution

The fourth proportional to 1,767.73, 2,438.52 and 1,059.37 is: 1,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.73 : 2,438.52 = 1,059.37 : x
  2. Step 2: Convert to fraction form
    1,767.73/2,438.52 = 1,059.37/x
  3. Step 3: Cross multiply
    1,767.73x = 2,438.52 × 1,059.37
  4. Step 4: Simplify right side
    1,767.73x = 2,583,294.93
  5. Step 5: Solve for x
    x = 2,583,294.93/1,767.73
  6. Step 6: Final answer
    x = 1,461.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.