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Finding the Fourth Proportional to 1,857.34, 2,786.64 and 761.14

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Solution

The fourth proportional to 1,857.34, 2,786.64 and 761.14 is: 1,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.34 : 2,786.64 = 761.14 : x
  2. Step 2: Convert to fraction form
    1,857.34/2,786.64 = 761.14/x
  3. Step 3: Cross multiply
    1,857.34x = 2,786.64 × 761.14
  4. Step 4: Simplify right side
    1,857.34x = 2,121,023.17
  5. Step 5: Solve for x
    x = 2,121,023.17/1,857.34
  6. Step 6: Final answer
    x = 1,141.97

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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.