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Finding the Fourth Proportional to 1,732.98, 2,390.75 and 1,173.25

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Solution

The fourth proportional to 1,732.98, 2,390.75 and 1,173.25 is: 1,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.98 : 2,390.75 = 1,173.25 : x
  2. Step 2: Convert to fraction form
    1,732.98/2,390.75 = 1,173.25/x
  3. Step 3: Cross multiply
    1,732.98x = 2,390.75 × 1,173.25
  4. Step 4: Simplify right side
    1,732.98x = 2,804,935.48
  5. Step 5: Solve for x
    x = 2,804,935.48/1,732.98
  6. Step 6: Final answer
    x = 1,618.56

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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.