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Finding the Fourth Proportional to 1,288.65, 1,939.94 and 1,173.83

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Solution

The fourth proportional to 1,288.65, 1,939.94 and 1,173.83 is: 1,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.65 : 1,939.94 = 1,173.83 : x
  2. Step 2: Convert to fraction form
    1,288.65/1,939.94 = 1,173.83/x
  3. Step 3: Cross multiply
    1,288.65x = 1,939.94 × 1,173.83
  4. Step 4: Simplify right side
    1,288.65x = 2,277,159.77
  5. Step 5: Solve for x
    x = 2,277,159.77/1,288.65
  6. Step 6: Final answer
    x = 1,767.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.