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Finding the Fourth Proportional to 1,857.66, 2,786.05 and 541.41

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Solution

The fourth proportional to 1,857.66, 2,786.05 and 541.41 is: 811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.66 : 2,786.05 = 541.41 : x
  2. Step 2: Convert to fraction form
    1,857.66/2,786.05 = 541.41/x
  3. Step 3: Cross multiply
    1,857.66x = 2,786.05 × 541.41
  4. Step 4: Simplify right side
    1,857.66x = 1,508,395.33
  5. Step 5: Solve for x
    x = 1,508,395.33/1,857.66
  6. Step 6: Final answer
    x = 811.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.