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Finding the Fourth Proportional to 1,801.74, 2,706.68 and 1,186.65

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Solution

The fourth proportional to 1,801.74, 2,706.68 and 1,186.65 is: 1,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.74 : 2,706.68 = 1,186.65 : x
  2. Step 2: Convert to fraction form
    1,801.74/2,706.68 = 1,186.65/x
  3. Step 3: Cross multiply
    1,801.74x = 2,706.68 × 1,186.65
  4. Step 4: Simplify right side
    1,801.74x = 3,211,884.79
  5. Step 5: Solve for x
    x = 3,211,884.79/1,801.74
  6. Step 6: Final answer
    x = 1,782.65

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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.