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Finding the Fourth Proportional to 1,687.65, 2,527.02 and 1,320.72

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Solution

The fourth proportional to 1,687.65, 2,527.02 and 1,320.72 is: 1,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.65 : 2,527.02 = 1,320.72 : x
  2. Step 2: Convert to fraction form
    1,687.65/2,527.02 = 1,320.72/x
  3. Step 3: Cross multiply
    1,687.65x = 2,527.02 × 1,320.72
  4. Step 4: Simplify right side
    1,687.65x = 3,337,485.85
  5. Step 5: Solve for x
    x = 3,337,485.85/1,687.65
  6. Step 6: Final answer
    x = 1,977.59

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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.