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Finding the Fourth Proportional to 1,760.49, 2,426.63 and 1,193.14

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Solution

The fourth proportional to 1,760.49, 2,426.63 and 1,193.14 is: 1,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.49 : 2,426.63 = 1,193.14 : x
  2. Step 2: Convert to fraction form
    1,760.49/2,426.63 = 1,193.14/x
  3. Step 3: Cross multiply
    1,760.49x = 2,426.63 × 1,193.14
  4. Step 4: Simplify right side
    1,760.49x = 2,895,297.29
  5. Step 5: Solve for x
    x = 2,895,297.29/1,760.49
  6. Step 6: Final answer
    x = 1,644.60

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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.