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Finding the Fourth Proportional to 2,266.65, 3,384.71 and 1,850.99

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Solution

The fourth proportional to 2,266.65, 3,384.71 and 1,850.99 is: 2,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.65 : 3,384.71 = 1,850.99 : x
  2. Step 2: Convert to fraction form
    2,266.65/3,384.71 = 1,850.99/x
  3. Step 3: Cross multiply
    2,266.65x = 3,384.71 × 1,850.99
  4. Step 4: Simplify right side
    2,266.65x = 6,265,072.82
  5. Step 5: Solve for x
    x = 6,265,072.82/2,266.65
  6. Step 6: Final answer
    x = 2,764.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.