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Finding the Fourth Proportional to 2,018.58, 3,029.50 and 1,044.96

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Solution

The fourth proportional to 2,018.58, 3,029.50 and 1,044.96 is: 1,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.58 : 3,029.50 = 1,044.96 : x
  2. Step 2: Convert to fraction form
    2,018.58/3,029.50 = 1,044.96/x
  3. Step 3: Cross multiply
    2,018.58x = 3,029.50 × 1,044.96
  4. Step 4: Simplify right side
    2,018.58x = 3,165,706.32
  5. Step 5: Solve for x
    x = 3,165,706.32/2,018.58
  6. Step 6: Final answer
    x = 1,568.28

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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.