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Finding the Fourth Proportional to 1,758.09, 2,638.44 and 833.65

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Solution

The fourth proportional to 1,758.09, 2,638.44 and 833.65 is: 1,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.09 : 2,638.44 = 833.65 : x
  2. Step 2: Convert to fraction form
    1,758.09/2,638.44 = 833.65/x
  3. Step 3: Cross multiply
    1,758.09x = 2,638.44 × 833.65
  4. Step 4: Simplify right side
    1,758.09x = 2,199,535.51
  5. Step 5: Solve for x
    x = 2,199,535.51/1,758.09
  6. Step 6: Final answer
    x = 1,251.09

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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.