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Finding the Fourth Proportional to 1,687.29, 2,530.29 and 864.72

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Solution

The fourth proportional to 1,687.29, 2,530.29 and 864.72 is: 1,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.29 : 2,530.29 = 864.72 : x
  2. Step 2: Convert to fraction form
    1,687.29/2,530.29 = 864.72/x
  3. Step 3: Cross multiply
    1,687.29x = 2,530.29 × 864.72
  4. Step 4: Simplify right side
    1,687.29x = 2,187,992.37
  5. Step 5: Solve for x
    x = 2,187,992.37/1,687.29
  6. Step 6: Final answer
    x = 1,296.75

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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.