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Finding the Fourth Proportional to 1,764.91, 2,435.56 and 1,018.87

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Solution

The fourth proportional to 1,764.91, 2,435.56 and 1,018.87 is: 1,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.91 : 2,435.56 = 1,018.87 : x
  2. Step 2: Convert to fraction form
    1,764.91/2,435.56 = 1,018.87/x
  3. Step 3: Cross multiply
    1,764.91x = 2,435.56 × 1,018.87
  4. Step 4: Simplify right side
    1,764.91x = 2,481,510.38
  5. Step 5: Solve for x
    x = 2,481,510.38/1,764.91
  6. Step 6: Final answer
    x = 1,406.03

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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.