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Finding the Fourth Proportional to 2,760.49, 3,809.13 and 1,866.18

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Solution

The fourth proportional to 2,760.49, 3,809.13 and 1,866.18 is: 2,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.49 : 3,809.13 = 1,866.18 : x
  2. Step 2: Convert to fraction form
    2,760.49/3,809.13 = 1,866.18/x
  3. Step 3: Cross multiply
    2,760.49x = 3,809.13 × 1,866.18
  4. Step 4: Simplify right side
    2,760.49x = 7,108,504.37
  5. Step 5: Solve for x
    x = 7,108,504.37/2,760.49
  6. Step 6: Final answer
    x = 2,575.09

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1.5x scale

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.