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Finding the Fourth Proportional to 1,857.45, 2,786.55 and 541.20

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Solution

The fourth proportional to 1,857.45, 2,786.55 and 541.20 is: 811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.45 : 2,786.55 = 541.20 : x
  2. Step 2: Convert to fraction form
    1,857.45/2,786.55 = 541.20/x
  3. Step 3: Cross multiply
    1,857.45x = 2,786.55 × 541.20
  4. Step 4: Simplify right side
    1,857.45x = 1,508,080.86
  5. Step 5: Solve for x
    x = 1,508,080.86/1,857.45
  6. Step 6: Final answer
    x = 811.91

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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.