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Finding the Fourth Proportional to 1,654.64, 2,277.68 and 1,320.56

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Solution

The fourth proportional to 1,654.64, 2,277.68 and 1,320.56 is: 1,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.64 : 2,277.68 = 1,320.56 : x
  2. Step 2: Convert to fraction form
    1,654.64/2,277.68 = 1,320.56/x
  3. Step 3: Cross multiply
    1,654.64x = 2,277.68 × 1,320.56
  4. Step 4: Simplify right side
    1,654.64x = 3,007,813.10
  5. Step 5: Solve for x
    x = 3,007,813.10/1,654.64
  6. Step 6: Final answer
    x = 1,817.81

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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.