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Finding the Fourth Proportional to 1,857.85, 2,786.87 and 1,035.51

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Solution

The fourth proportional to 1,857.85, 2,786.87 and 1,035.51 is: 1,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.85 : 2,786.87 = 1,035.51 : x
  2. Step 2: Convert to fraction form
    1,857.85/2,786.87 = 1,035.51/x
  3. Step 3: Cross multiply
    1,857.85x = 2,786.87 × 1,035.51
  4. Step 4: Simplify right side
    1,857.85x = 2,885,831.75
  5. Step 5: Solve for x
    x = 2,885,831.75/1,857.85
  6. Step 6: Final answer
    x = 1,553.32

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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.