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Finding the Fourth Proportional to 2,177.97, 3,267.18 and 945.03

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Solution

The fourth proportional to 2,177.97, 3,267.18 and 945.03 is: 1,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.97 : 3,267.18 = 945.03 : x
  2. Step 2: Convert to fraction form
    2,177.97/3,267.18 = 945.03/x
  3. Step 3: Cross multiply
    2,177.97x = 3,267.18 × 945.03
  4. Step 4: Simplify right side
    2,177.97x = 3,087,583.12
  5. Step 5: Solve for x
    x = 3,087,583.12/2,177.97
  6. Step 6: Final answer
    x = 1,417.64

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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.