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Finding the Fourth Proportional to 1,654.94, 2,475.57 and 1,359.11

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Solution

The fourth proportional to 1,654.94, 2,475.57 and 1,359.11 is: 2,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.94 : 2,475.57 = 1,359.11 : x
  2. Step 2: Convert to fraction form
    1,654.94/2,475.57 = 1,359.11/x
  3. Step 3: Cross multiply
    1,654.94x = 2,475.57 × 1,359.11
  4. Step 4: Simplify right side
    1,654.94x = 3,364,571.94
  5. Step 5: Solve for x
    x = 3,364,571.94/1,654.94
  6. Step 6: Final answer
    x = 2,033.05

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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.