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Finding the Fourth Proportional to 3,186.65, 4,397.84 and 1,860.77

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Solution

The fourth proportional to 3,186.65, 4,397.84 and 1,860.77 is: 2,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.65 : 4,397.84 = 1,860.77 : x
  2. Step 2: Convert to fraction form
    3,186.65/4,397.84 = 1,860.77/x
  3. Step 3: Cross multiply
    3,186.65x = 4,397.84 × 1,860.77
  4. Step 4: Simplify right side
    3,186.65x = 8,183,384.38
  5. Step 5: Solve for x
    x = 8,183,384.38/3,186.65
  6. Step 6: Final answer
    x = 2,568.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.