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Finding the Fourth Proportional to 1,796.52, 2,477.73 and 1,267.17

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Solution

The fourth proportional to 1,796.52, 2,477.73 and 1,267.17 is: 1,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.52 : 2,477.73 = 1,267.17 : x
  2. Step 2: Convert to fraction form
    1,796.52/2,477.73 = 1,267.17/x
  3. Step 3: Cross multiply
    1,796.52x = 2,477.73 × 1,267.17
  4. Step 4: Simplify right side
    1,796.52x = 3,139,705.12
  5. Step 5: Solve for x
    x = 3,139,705.12/1,796.52
  6. Step 6: Final answer
    x = 1,747.66

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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.